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Finding the Fourth Proportional to 470,911.97, 706,367.96 and 138,487.97

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Solution

The fourth proportional to 470,911.97, 706,367.96 and 138,487.97 is: 207,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,911.97 : 706,367.96 = 138,487.97 : x
  2. Step 2: Convert to fraction form
    470,911.97/706,367.96 = 138,487.97/x
  3. Step 3: Cross multiply
    470,911.97x = 706,367.96 × 138,487.97
  4. Step 4: Simplify right side
    470,911.97x = 97,823,465,926.92
  5. Step 5: Solve for x
    x = 97,823,465,926.92/470,911.97
  6. Step 6: Final answer
    x = 207,731.96

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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.