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Finding the Fourth Proportional to 520,089.30, 780,133.95 and 342,942.30

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Solution

The fourth proportional to 520,089.30, 780,133.95 and 342,942.30 is: 514,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,089.30 : 780,133.95 = 342,942.30 : x
  2. Step 2: Convert to fraction form
    520,089.30/780,133.95 = 342,942.30/x
  3. Step 3: Cross multiply
    520,089.30x = 780,133.95 × 342,942.30
  4. Step 4: Simplify right side
    520,089.30x = 267,540,931,121.09
  5. Step 5: Solve for x
    x = 267,540,931,121.09/520,089.30
  6. Step 6: Final answer
    x = 514,413.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.