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Finding the Fourth Proportional to 541,410.91, 747,138 and 299,688.29

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Solution

The fourth proportional to 541,410.91, 747,138 and 299,688.29 is: 413,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,410.91 : 747,138 = 299,688.29 : x
  2. Step 2: Convert to fraction form
    541,410.91/747,138 = 299,688.29/x
  3. Step 3: Cross multiply
    541,410.91x = 747,138 × 299,688.29
  4. Step 4: Simplify right side
    541,410.91x = 223,908,509,614.02
  5. Step 5: Solve for x
    x = 223,908,509,614.02/541,410.91
  6. Step 6: Final answer
    x = 413,564.83

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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.