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Finding the Fourth Proportional to 664,146.32, 916,758.54 and 392,215.32

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Solution

The fourth proportional to 664,146.32, 916,758.54 and 392,215.32 is: 541,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,146.32 : 916,758.54 = 392,215.32 : x
  2. Step 2: Convert to fraction form
    664,146.32/916,758.54 = 392,215.32/x
  3. Step 3: Cross multiply
    664,146.32x = 916,758.54 × 392,215.32
  4. Step 4: Simplify right side
    664,146.32x = 359,566,744,128.83
  5. Step 5: Solve for x
    x = 359,566,744,128.83/664,146.32
  6. Step 6: Final answer
    x = 541,396.88

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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.