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Finding the Fourth Proportional to 421,663.89, 581,909.91 and 230,677.27

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Solution

The fourth proportional to 421,663.89, 581,909.91 and 230,677.27 is: 318,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,663.89 : 581,909.91 = 230,677.27 : x
  2. Step 2: Convert to fraction form
    421,663.89/581,909.91 = 230,677.27/x
  3. Step 3: Cross multiply
    421,663.89x = 581,909.91 × 230,677.27
  4. Step 4: Simplify right side
    421,663.89x = 134,233,389,424.75
  5. Step 5: Solve for x
    x = 134,233,389,424.75/421,663.89
  6. Step 6: Final answer
    x = 318,342.15

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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.