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Finding the Fourth Proportional to 459,425.61, 689,211.92 and 159,991.29

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Solution

The fourth proportional to 459,425.61, 689,211.92 and 159,991.29 is: 240,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,425.61 : 689,211.92 = 159,991.29 : x
  2. Step 2: Convert to fraction form
    459,425.61/689,211.92 = 159,991.29/x
  3. Step 3: Cross multiply
    459,425.61x = 689,211.92 × 159,991.29
  4. Step 4: Simplify right side
    459,425.61x = 110,267,904,164.18
  5. Step 5: Solve for x
    x = 110,267,904,164.18/459,425.61
  6. Step 6: Final answer
    x = 240,012.53

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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.