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Finding the Fourth Proportional to 642,589.92, 963,931.68 and 169,272

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Solution

The fourth proportional to 642,589.92, 963,931.68 and 169,272 is: 253,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,589.92 : 963,931.68 = 169,272 : x
  2. Step 2: Convert to fraction form
    642,589.92/963,931.68 = 169,272/x
  3. Step 3: Cross multiply
    642,589.92x = 963,931.68 × 169,272
  4. Step 4: Simplify right side
    642,589.92x = 163,166,643,336.96
  5. Step 5: Solve for x
    x = 163,166,643,336.96/642,589.92
  6. Step 6: Final answer
    x = 253,920.33

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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.