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Finding the Fourth Proportional to 486,760.98, 671,293.76 and 405,358.78

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Solution

The fourth proportional to 486,760.98, 671,293.76 and 405,358.78 is: 559,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,760.98 : 671,293.76 = 405,358.78 : x
  2. Step 2: Convert to fraction form
    486,760.98/671,293.76 = 405,358.78/x
  3. Step 3: Cross multiply
    486,760.98x = 671,293.76 × 405,358.78
  4. Step 4: Simplify right side
    486,760.98x = 272,114,819,575.21
  5. Step 5: Solve for x
    x = 272,114,819,575.21/486,760.98
  6. Step 6: Final answer
    x = 559,031.70

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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.