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Finding the Fourth Proportional to 478,231.32, 717,441.57 and 136,677.81

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Solution

The fourth proportional to 478,231.32, 717,441.57 and 136,677.81 is: 205,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,231.32 : 717,441.57 = 136,677.81 : x
  2. Step 2: Convert to fraction form
    478,231.32/717,441.57 = 136,677.81/x
  3. Step 3: Cross multiply
    478,231.32x = 717,441.57 × 136,677.81
  4. Step 4: Simplify right side
    478,231.32x = 98,058,342,590.56
  5. Step 5: Solve for x
    x = 98,058,342,590.56/478,231.32
  6. Step 6: Final answer
    x = 205,043.75

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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.