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Finding the Fourth Proportional to 438,707.86, 658,304.97 and 214,070.15

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Solution

The fourth proportional to 438,707.86, 658,304.97 and 214,070.15 is: 321,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,707.86 : 658,304.97 = 214,070.15 : x
  2. Step 2: Convert to fraction form
    438,707.86/658,304.97 = 214,070.15/x
  3. Step 3: Cross multiply
    438,707.86x = 658,304.97 × 214,070.15
  4. Step 4: Simplify right side
    438,707.86x = 140,923,443,673.65
  5. Step 5: Solve for x
    x = 140,923,443,673.65/438,707.86
  6. Step 6: Final answer
    x = 321,223.89

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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.