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Finding the Fourth Proportional to 421,523.84, 581,701.62 and 227,930.24

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Solution

The fourth proportional to 421,523.84, 581,701.62 and 227,930.24 is: 314,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,523.84 : 581,701.62 = 227,930.24 : x
  2. Step 2: Convert to fraction form
    421,523.84/581,701.62 = 227,930.24/x
  3. Step 3: Cross multiply
    421,523.84x = 581,701.62 × 227,930.24
  4. Step 4: Simplify right side
    421,523.84x = 132,587,389,854.99
  5. Step 5: Solve for x
    x = 132,587,389,854.99/421,523.84
  6. Step 6: Final answer
    x = 314,543.04

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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.