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Finding the Fourth Proportional to 526,002, 725,882.76 and 299,647.50

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Solution

The fourth proportional to 526,002, 725,882.76 and 299,647.50 is: 413,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,002 : 725,882.76 = 299,647.50 : x
  2. Step 2: Convert to fraction form
    526,002/725,882.76 = 299,647.50/x
  3. Step 3: Cross multiply
    526,002x = 725,882.76 × 299,647.50
  4. Step 4: Simplify right side
    526,002x = 217,508,954,327.10
  5. Step 5: Solve for x
    x = 217,508,954,327.10/526,002
  6. Step 6: Final answer
    x = 413,513.55

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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.