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Finding the Fourth Proportional to 478,514.56, 717,553.12 and 178,775.28

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Solution

The fourth proportional to 478,514.56, 717,553.12 and 178,775.28 is: 268,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,514.56 : 717,553.12 = 178,775.28 : x
  2. Step 2: Convert to fraction form
    478,514.56/717,553.12 = 178,775.28/x
  3. Step 3: Cross multiply
    478,514.56x = 717,553.12 × 178,775.28
  4. Step 4: Simplify right side
    478,514.56x = 128,280,759,942.87
  5. Step 5: Solve for x
    x = 128,280,759,942.87/478,514.56
  6. Step 6: Final answer
    x = 268,081.21

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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.