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Finding the Fourth Proportional to 421,336.59, 581,444.46 and 230,349.93

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Solution

The fourth proportional to 421,336.59, 581,444.46 and 230,349.93 is: 317,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,336.59 : 581,444.46 = 230,349.93 : x
  2. Step 2: Convert to fraction form
    421,336.59/581,444.46 = 230,349.93/x
  3. Step 3: Cross multiply
    421,336.59x = 581,444.46 × 230,349.93
  4. Step 4: Simplify right side
    421,336.59x = 133,935,690,659.89
  5. Step 5: Solve for x
    x = 133,935,690,659.89/421,336.59
  6. Step 6: Final answer
    x = 317,882.88

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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.