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Finding the Fourth Proportional to 502,408.10, 753,612.15 and 407,929.70

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Solution

The fourth proportional to 502,408.10, 753,612.15 and 407,929.70 is: 611,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,408.10 : 753,612.15 = 407,929.70 : x
  2. Step 2: Convert to fraction form
    502,408.10/753,612.15 = 407,929.70/x
  3. Step 3: Cross multiply
    502,408.10x = 753,612.15 × 407,929.70
  4. Step 4: Simplify right side
    502,408.10x = 307,420,778,265.86
  5. Step 5: Solve for x
    x = 307,420,778,265.86/502,408.10
  6. Step 6: Final answer
    x = 611,894.55

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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.