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Finding the Fourth Proportional to 258,641.56, 388,006.08 and 118,411.12

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Solution

The fourth proportional to 258,641.56, 388,006.08 and 118,411.12 is: 177,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,641.56 : 388,006.08 = 118,411.12 : x
  2. Step 2: Convert to fraction form
    258,641.56/388,006.08 = 118,411.12/x
  3. Step 3: Cross multiply
    258,641.56x = 388,006.08 × 118,411.12
  4. Step 4: Simplify right side
    258,641.56x = 45,944,234,499.61
  5. Step 5: Solve for x
    x = 45,944,234,499.61/258,641.56
  6. Step 6: Final answer
    x = 177,636.71

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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.