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Finding the Fourth Proportional to 648,354.90, 972,609.96 and 199,016.88

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Solution

The fourth proportional to 648,354.90, 972,609.96 and 199,016.88 is: 298,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,354.90 : 972,609.96 = 199,016.88 : x
  2. Step 2: Convert to fraction form
    648,354.90/972,609.96 = 199,016.88/x
  3. Step 3: Cross multiply
    648,354.90x = 972,609.96 × 199,016.88
  4. Step 4: Simplify right side
    648,354.90x = 193,565,799,696.13
  5. Step 5: Solve for x
    x = 193,565,799,696.13/648,354.90
  6. Step 6: Final answer
    x = 298,549.14

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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.