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Finding the Fourth Proportional to 375,761.34, 563,478.17 and 142,125.50

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Solution

The fourth proportional to 375,761.34, 563,478.17 and 142,125.50 is: 213,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,761.34 : 563,478.17 = 142,125.50 : x
  2. Step 2: Convert to fraction form
    375,761.34/563,478.17 = 142,125.50/x
  3. Step 3: Cross multiply
    375,761.34x = 563,478.17 × 142,125.50
  4. Step 4: Simplify right side
    375,761.34x = 80,084,616,650.34
  5. Step 5: Solve for x
    x = 80,084,616,650.34/375,761.34
  6. Step 6: Final answer
    x = 213,126.28

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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.