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Finding the Fourth Proportional to 478,234.32, 717,446.08 and 136,680.82

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Solution

The fourth proportional to 478,234.32, 717,446.08 and 136,680.82 is: 205,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,234.32 : 717,446.08 = 136,680.82 : x
  2. Step 2: Convert to fraction form
    478,234.32/717,446.08 = 136,680.82/x
  3. Step 3: Cross multiply
    478,234.32x = 717,446.08 × 136,680.82
  4. Step 4: Simplify right side
    478,234.32x = 98,061,118,520.19
  5. Step 5: Solve for x
    x = 98,061,118,520.19/478,234.32
  6. Step 6: Final answer
    x = 205,048.27

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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.