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Finding the Fourth Proportional to 478,163.76, 717,162.39 and 178,646.82

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Solution

The fourth proportional to 478,163.76, 717,162.39 and 178,646.82 is: 267,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,163.76 : 717,162.39 = 178,646.82 : x
  2. Step 2: Convert to fraction form
    478,163.76/717,162.39 = 178,646.82/x
  3. Step 3: Cross multiply
    478,163.76x = 717,162.39 × 178,646.82
  4. Step 4: Simplify right side
    478,163.76x = 128,118,780,397.10
  5. Step 5: Solve for x
    x = 128,118,780,397.10/478,163.76
  6. Step 6: Final answer
    x = 267,939.13

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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.