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Finding the Fourth Proportional to 475,245.72, 712,979.82 and 138,293.82

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Solution

The fourth proportional to 475,245.72, 712,979.82 and 138,293.82 is: 207,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,245.72 : 712,979.82 = 138,293.82 : x
  2. Step 2: Convert to fraction form
    475,245.72/712,979.82 = 138,293.82/x
  3. Step 3: Cross multiply
    475,245.72x = 712,979.82 × 138,293.82
  4. Step 4: Simplify right side
    475,245.72x = 98,600,702,890.71
  5. Step 5: Solve for x
    x = 98,600,702,890.71/475,245.72
  6. Step 6: Final answer
    x = 207,473.10

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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.