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Finding the Fourth Proportional to 1,000,142, 1,380,195.96 and 547,433

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Solution

The fourth proportional to 1,000,142, 1,380,195.96 and 547,433 is: 755,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,142 : 1,380,195.96 = 547,433 : x
  2. Step 2: Convert to fraction form
    1,000,142/1,380,195.96 = 547,433/x
  3. Step 3: Cross multiply
    1,000,142x = 1,380,195.96 × 547,433
  4. Step 4: Simplify right side
    1,000,142x = 755,564,814,970.68
  5. Step 5: Solve for x
    x = 755,564,814,970.68/1,000,142
  6. Step 6: Final answer
    x = 755,457.54

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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.