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Finding the Fourth Proportional to 423,770.40, 584,638.33 and 239,966.77

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Solution

The fourth proportional to 423,770.40, 584,638.33 and 239,966.77 is: 331,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,770.40 : 584,638.33 = 239,966.77 : x
  2. Step 2: Convert to fraction form
    423,770.40/584,638.33 = 239,966.77/x
  3. Step 3: Cross multiply
    423,770.40x = 584,638.33 × 239,966.77
  4. Step 4: Simplify right side
    423,770.40x = 140,293,771,668.29
  5. Step 5: Solve for x
    x = 140,293,771,668.29/423,770.40
  6. Step 6: Final answer
    x = 331,060.81

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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.