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Finding the Fourth Proportional to 520,065.40, 780,098.10 and 342,772.60

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Solution

The fourth proportional to 520,065.40, 780,098.10 and 342,772.60 is: 514,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,065.40 : 780,098.10 = 342,772.60 : x
  2. Step 2: Convert to fraction form
    520,065.40/780,098.10 = 342,772.60/x
  3. Step 3: Cross multiply
    520,065.40x = 780,098.10 × 342,772.60
  4. Step 4: Simplify right side
    520,065.40x = 267,396,253,992.06
  5. Step 5: Solve for x
    x = 267,396,253,992.06/520,065.40
  6. Step 6: Final answer
    x = 514,158.90

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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.