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Finding the Fourth Proportional to 526,108.68, 725,037.88 and 380,668.20

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Solution

The fourth proportional to 526,108.68, 725,037.88 and 380,668.20 is: 524,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,108.68 : 725,037.88 = 380,668.20 : x
  2. Step 2: Convert to fraction form
    526,108.68/725,037.88 = 380,668.20/x
  3. Step 3: Cross multiply
    526,108.68x = 725,037.88 × 380,668.20
  4. Step 4: Simplify right side
    526,108.68x = 275,998,864,711.42
  5. Step 5: Solve for x
    x = 275,998,864,711.42/526,108.68
  6. Step 6: Final answer
    x = 524,604.28

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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.