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Finding the Fourth Proportional to 674,063.40, 929,780.31 and 512,564.40

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Solution

The fourth proportional to 674,063.40, 929,780.31 and 512,564.40 is: 707,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,063.40 : 929,780.31 = 512,564.40 : x
  2. Step 2: Convert to fraction form
    674,063.40/929,780.31 = 512,564.40/x
  3. Step 3: Cross multiply
    674,063.40x = 929,780.31 × 512,564.40
  4. Step 4: Simplify right side
    674,063.40x = 476,572,286,726.96
  5. Step 5: Solve for x
    x = 476,572,286,726.96/674,063.40
  6. Step 6: Final answer
    x = 707,014.04

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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.