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Finding the Fourth Proportional to 520,056.40, 780,084.60 and 342,763.60

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Solution

The fourth proportional to 520,056.40, 780,084.60 and 342,763.60 is: 514,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,056.40 : 780,084.60 = 342,763.60 : x
  2. Step 2: Convert to fraction form
    520,056.40/780,084.60 = 342,763.60/x
  3. Step 3: Cross multiply
    520,056.40x = 780,084.60 × 342,763.60
  4. Step 4: Simplify right side
    520,056.40x = 267,384,605,800.56
  5. Step 5: Solve for x
    x = 267,384,605,800.56/520,056.40
  6. Step 6: Final answer
    x = 514,145.40

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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.