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Finding the Fourth Proportional to 650,438.74, 974,646.68 and 451,148.50

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Solution

The fourth proportional to 650,438.74, 974,646.68 and 451,148.50 is: 676,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,438.74 : 974,646.68 = 451,148.50 : x
  2. Step 2: Convert to fraction form
    650,438.74/974,646.68 = 451,148.50/x
  3. Step 3: Cross multiply
    650,438.74x = 974,646.68 × 451,148.50
  4. Step 4: Simplify right side
    650,438.74x = 439,710,387,711.98
  5. Step 5: Solve for x
    x = 439,710,387,711.98/650,438.74
  6. Step 6: Final answer
    x = 676,021.22

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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.