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Finding the Fourth Proportional to 398,630.72, 596,724.96 and 258,109.76

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Solution

The fourth proportional to 398,630.72, 596,724.96 and 258,109.76 is: 386,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,630.72 : 596,724.96 = 258,109.76 : x
  2. Step 2: Convert to fraction form
    398,630.72/596,724.96 = 258,109.76/x
  3. Step 3: Cross multiply
    398,630.72x = 596,724.96 × 258,109.76
  4. Step 4: Simplify right side
    398,630.72x = 154,020,536,211.61
  5. Step 5: Solve for x
    x = 154,020,536,211.61/398,630.72
  6. Step 6: Final answer
    x = 386,373.98

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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.