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Finding the Fourth Proportional to 497,757.40, 746,636.10 and 142,807.30

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Solution

The fourth proportional to 497,757.40, 746,636.10 and 142,807.30 is: 214,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,757.40 : 746,636.10 = 142,807.30 : x
  2. Step 2: Convert to fraction form
    497,757.40/746,636.10 = 142,807.30/x
  3. Step 3: Cross multiply
    497,757.40x = 746,636.10 × 142,807.30
  4. Step 4: Simplify right side
    497,757.40x = 106,625,085,523.53
  5. Step 5: Solve for x
    x = 106,625,085,523.53/497,757.40
  6. Step 6: Final answer
    x = 214,210.95

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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.