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Finding the Fourth Proportional to 546,381.08, 754,481.75 and 342,782

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Solution

The fourth proportional to 546,381.08, 754,481.75 and 342,782 is: 473,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,381.08 : 754,481.75 = 342,782 : x
  2. Step 2: Convert to fraction form
    546,381.08/754,481.75 = 342,782/x
  3. Step 3: Cross multiply
    546,381.08x = 754,481.75 × 342,782
  4. Step 4: Simplify right side
    546,381.08x = 258,622,763,228.50
  5. Step 5: Solve for x
    x = 258,622,763,228.50/546,381.08
  6. Step 6: Final answer
    x = 473,337.70

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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.