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Finding the Fourth Proportional to 509,439.60, 714,265.20 and 509,439.60

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Solution

The fourth proportional to 509,439.60, 714,265.20 and 509,439.60 is: 714,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,439.60 : 714,265.20 = 509,439.60 : x
  2. Step 2: Convert to fraction form
    509,439.60/714,265.20 = 509,439.60/x
  3. Step 3: Cross multiply
    509,439.60x = 714,265.20 × 509,439.60
  4. Step 4: Simplify right side
    509,439.60x = 363,874,977,781.92
  5. Step 5: Solve for x
    x = 363,874,977,781.92/509,439.60
  6. Step 6: Final answer
    x = 714,265.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.