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Finding the Fourth Proportional to 391,203.50, 539,874.10 and 219,128.84

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Solution

The fourth proportional to 391,203.50, 539,874.10 and 219,128.84 is: 302,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,203.50 : 539,874.10 = 219,128.84 : x
  2. Step 2: Convert to fraction form
    391,203.50/539,874.10 = 219,128.84/x
  3. Step 3: Cross multiply
    391,203.50x = 539,874.10 × 219,128.84
  4. Step 4: Simplify right side
    391,203.50x = 118,301,985,279.04
  5. Step 5: Solve for x
    x = 118,301,985,279.04/391,203.50
  6. Step 6: Final answer
    x = 302,405.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.