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Finding the Fourth Proportional to 461,437.28, 692,151.80 and 145,894.30

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Solution

The fourth proportional to 461,437.28, 692,151.80 and 145,894.30 is: 218,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,437.28 : 692,151.80 = 145,894.30 : x
  2. Step 2: Convert to fraction form
    461,437.28/692,151.80 = 145,894.30/x
  3. Step 3: Cross multiply
    461,437.28x = 692,151.80 × 145,894.30
  4. Step 4: Simplify right side
    461,437.28x = 100,981,002,354.74
  5. Step 5: Solve for x
    x = 100,981,002,354.74/461,437.28
  6. Step 6: Final answer
    x = 218,840.15

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1.5x scale

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.