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Finding the Fourth Proportional to 471,398.88, 707,104.08 and 138,981.60

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Solution

The fourth proportional to 471,398.88, 707,104.08 and 138,981.60 is: 208,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,398.88 : 707,104.08 = 138,981.60 : x
  2. Step 2: Convert to fraction form
    471,398.88/707,104.08 = 138,981.60/x
  3. Step 3: Cross multiply
    471,398.88x = 707,104.08 × 138,981.60
  4. Step 4: Simplify right side
    471,398.88x = 98,274,456,404.93
  5. Step 5: Solve for x
    x = 98,274,456,404.93/471,398.88
  6. Step 6: Final answer
    x = 208,474.10

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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.