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Finding the Fourth Proportional to 421,042.62, 581,031.96 and 230,051.90

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Solution

The fourth proportional to 421,042.62, 581,031.96 and 230,051.90 is: 317,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,042.62 : 581,031.96 = 230,051.90 : x
  2. Step 2: Convert to fraction form
    421,042.62/581,031.96 = 230,051.90/x
  3. Step 3: Cross multiply
    421,042.62x = 581,031.96 × 230,051.90
  4. Step 4: Simplify right side
    421,042.62x = 133,667,506,358.72
  5. Step 5: Solve for x
    x = 133,667,506,358.72/421,042.62
  6. Step 6: Final answer
    x = 317,467.88

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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.