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Finding the Fourth Proportional to 541,399, 747,119.80 and 299,681.52

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Solution

The fourth proportional to 541,399, 747,119.80 and 299,681.52 is: 413,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,399 : 747,119.80 = 299,681.52 : x
  2. Step 2: Convert to fraction form
    541,399/747,119.80 = 299,681.52/x
  3. Step 3: Cross multiply
    541,399x = 747,119.80 × 299,681.52
  4. Step 4: Simplify right side
    541,399x = 223,897,997,286.10
  5. Step 5: Solve for x
    x = 223,897,997,286.10/541,399
  6. Step 6: Final answer
    x = 413,554.51

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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.