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Finding the Fourth Proportional to 497,442.72, 746,384.40 and 260,729.12

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Solution

The fourth proportional to 497,442.72, 746,384.40 and 260,729.12 is: 391,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,442.72 : 746,384.40 = 260,729.12 : x
  2. Step 2: Convert to fraction form
    497,442.72/746,384.40 = 260,729.12/x
  3. Step 3: Cross multiply
    497,442.72x = 746,384.40 × 260,729.12
  4. Step 4: Simplify right side
    497,442.72x = 194,604,147,793.73
  5. Step 5: Solve for x
    x = 194,604,147,793.73/497,442.72
  6. Step 6: Final answer
    x = 391,209.16

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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.