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Finding the Fourth Proportional to 402,562.48, 603,843.32 and 103,042.57

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Solution

The fourth proportional to 402,562.48, 603,843.32 and 103,042.57 is: 154,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,562.48 : 603,843.32 = 103,042.57 : x
  2. Step 2: Convert to fraction form
    402,562.48/603,843.32 = 103,042.57/x
  3. Step 3: Cross multiply
    402,562.48x = 603,843.32 × 103,042.57
  4. Step 4: Simplify right side
    402,562.48x = 62,221,567,570.13
  5. Step 5: Solve for x
    x = 62,221,567,570.13/402,562.48
  6. Step 6: Final answer
    x = 154,563.75

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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.