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Finding the Fourth Proportional to 497,475.35, 746,209.99 and 142,490.02

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Solution

The fourth proportional to 497,475.35, 746,209.99 and 142,490.02 is: 213,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,475.35 : 746,209.99 = 142,490.02 : x
  2. Step 2: Convert to fraction form
    497,475.35/746,209.99 = 142,490.02/x
  3. Step 3: Cross multiply
    497,475.35x = 746,209.99 × 142,490.02
  4. Step 4: Simplify right side
    497,475.35x = 106,327,471,955.80
  5. Step 5: Solve for x
    x = 106,327,471,955.80/497,475.35
  6. Step 6: Final answer
    x = 213,734.15

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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.