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Finding the Fourth Proportional to 375,409.68, 563,099.94 and 138,747.12

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Solution

The fourth proportional to 375,409.68, 563,099.94 and 138,747.12 is: 208,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,409.68 : 563,099.94 = 138,747.12 : x
  2. Step 2: Convert to fraction form
    375,409.68/563,099.94 = 138,747.12/x
  3. Step 3: Cross multiply
    375,409.68x = 563,099.94 × 138,747.12
  4. Step 4: Simplify right side
    375,409.68x = 78,128,494,947.17
  5. Step 5: Solve for x
    x = 78,128,494,947.17/375,409.68
  6. Step 6: Final answer
    x = 208,115.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.