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Finding the Fourth Proportional to 541,395.78, 747,060.32 and 299,663.64

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Solution

The fourth proportional to 541,395.78, 747,060.32 and 299,663.64 is: 413,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,395.78 : 747,060.32 = 299,663.64 : x
  2. Step 2: Convert to fraction form
    541,395.78/747,060.32 = 299,663.64/x
  3. Step 3: Cross multiply
    541,395.78x = 747,060.32 × 299,663.64
  4. Step 4: Simplify right side
    541,395.78x = 223,866,814,790.77
  5. Step 5: Solve for x
    x = 223,866,814,790.77/541,395.78
  6. Step 6: Final answer
    x = 413,499.37

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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.