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Finding the Fourth Proportional to 442,543.98, 663,188.13 and 340,957.74

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Solution

The fourth proportional to 442,543.98, 663,188.13 and 340,957.74 is: 510,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,543.98 : 663,188.13 = 340,957.74 : x
  2. Step 2: Convert to fraction form
    442,543.98/663,188.13 = 340,957.74/x
  3. Step 3: Cross multiply
    442,543.98x = 663,188.13 × 340,957.74
  4. Step 4: Simplify right side
    442,543.98x = 226,119,125,999.63
  5. Step 5: Solve for x
    x = 226,119,125,999.63/442,543.98
  6. Step 6: Final answer
    x = 510,952.89

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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.