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Finding the Fourth Proportional to 438,708.86, 658,306.47 and 214,071.15

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Solution

The fourth proportional to 438,708.86, 658,306.47 and 214,071.15 is: 321,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,708.86 : 658,306.47 = 214,071.15 : x
  2. Step 2: Convert to fraction form
    438,708.86/658,306.47 = 214,071.15/x
  3. Step 3: Cross multiply
    438,708.86x = 658,306.47 × 214,071.15
  4. Step 4: Simplify right side
    438,708.86x = 140,924,423,085.34
  5. Step 5: Solve for x
    x = 140,924,423,085.34/438,708.86
  6. Step 6: Final answer
    x = 321,225.39

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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.