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Finding the Fourth Proportional to 426,414, 639,624.24 and 145,933.68

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Solution

The fourth proportional to 426,414, 639,624.24 and 145,933.68 is: 218,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,414 : 639,624.24 = 145,933.68 : x
  2. Step 2: Convert to fraction form
    426,414/639,624.24 = 145,933.68/x
  3. Step 3: Cross multiply
    426,414x = 639,624.24 × 145,933.68
  4. Step 4: Simplify right side
    426,414x = 93,342,719,160.40
  5. Step 5: Solve for x
    x = 93,342,719,160.40/426,414
  6. Step 6: Final answer
    x = 218,901.63

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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.