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Finding the Fourth Proportional to 478,433.10, 717,400.50 and 178,667.22

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Solution

The fourth proportional to 478,433.10, 717,400.50 and 178,667.22 is: 267,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,433.10 : 717,400.50 = 178,667.22 : x
  2. Step 2: Convert to fraction form
    478,433.10/717,400.50 = 178,667.22/x
  3. Step 3: Cross multiply
    478,433.10x = 717,400.50 × 178,667.22
  4. Step 4: Simplify right side
    478,433.10x = 128,175,952,961.61
  5. Step 5: Solve for x
    x = 128,175,952,961.61/478,433.10
  6. Step 6: Final answer
    x = 267,907.79

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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.