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Finding the Fourth Proportional to 1,000,140, 1,380,193.20 and 547,431

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Solution

The fourth proportional to 1,000,140, 1,380,193.20 and 547,431 is: 755,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,140 : 1,380,193.20 = 547,431 : x
  2. Step 2: Convert to fraction form
    1,000,140/1,380,193.20 = 547,431/x
  3. Step 3: Cross multiply
    1,000,140x = 1,380,193.20 × 547,431
  4. Step 4: Simplify right side
    1,000,140x = 755,560,543,669.20
  5. Step 5: Solve for x
    x = 755,560,543,669.20/1,000,140
  6. Step 6: Final answer
    x = 755,454.78

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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.