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Finding the Fourth Proportional to 412,042.59, 618,159.74 and 127,718.06

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Solution

The fourth proportional to 412,042.59, 618,159.74 and 127,718.06 is: 191,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,042.59 : 618,159.74 = 127,718.06 : x
  2. Step 2: Convert to fraction form
    412,042.59/618,159.74 = 127,718.06/x
  3. Step 3: Cross multiply
    412,042.59x = 618,159.74 × 127,718.06
  4. Step 4: Simplify right side
    412,042.59x = 78,950,162,762.90
  5. Step 5: Solve for x
    x = 78,950,162,762.90/412,042.59
  6. Step 6: Final answer
    x = 191,606.80

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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.