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Finding the Fourth Proportional to 497,645.60, 746,468.40 and 272,919.20

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Solution

The fourth proportional to 497,645.60, 746,468.40 and 272,919.20 is: 409,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,645.60 : 746,468.40 = 272,919.20 : x
  2. Step 2: Convert to fraction form
    497,645.60/746,468.40 = 272,919.20/x
  3. Step 3: Cross multiply
    497,645.60x = 746,468.40 × 272,919.20
  4. Step 4: Simplify right side
    497,645.60x = 203,725,558,553.28
  5. Step 5: Solve for x
    x = 203,725,558,553.28/497,645.60
  6. Step 6: Final answer
    x = 409,378.80

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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.