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Finding the Fourth Proportional to 478,475.76, 717,689.78 and 178,934.34

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Solution

The fourth proportional to 478,475.76, 717,689.78 and 178,934.34 is: 268,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,475.76 : 717,689.78 = 178,934.34 : x
  2. Step 2: Convert to fraction form
    478,475.76/717,689.78 = 178,934.34/x
  3. Step 3: Cross multiply
    478,475.76x = 717,689.78 × 178,934.34
  4. Step 4: Simplify right side
    478,475.76x = 128,419,347,109.05
  5. Step 5: Solve for x
    x = 128,419,347,109.05/478,475.76
  6. Step 6: Final answer
    x = 268,392.59

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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.