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Finding the Fourth Proportional to 658,412.01, 987,654.47 and 209,100.15

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Solution

The fourth proportional to 658,412.01, 987,654.47 and 209,100.15 is: 313,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,412.01 : 987,654.47 = 209,100.15 : x
  2. Step 2: Convert to fraction form
    658,412.01/987,654.47 = 209,100.15/x
  3. Step 3: Cross multiply
    658,412.01x = 987,654.47 × 209,100.15
  4. Step 4: Simplify right side
    658,412.01x = 206,518,696,779.67
  5. Step 5: Solve for x
    x = 206,518,696,779.67/658,412.01
  6. Step 6: Final answer
    x = 313,661.80

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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.