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Finding the Fourth Proportional to 294,686.68, 442,160.70 and 154,411.96

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Solution

The fourth proportional to 294,686.68, 442,160.70 and 154,411.96 is: 231,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,686.68 : 442,160.70 = 154,411.96 : x
  2. Step 2: Convert to fraction form
    294,686.68/442,160.70 = 154,411.96/x
  3. Step 3: Cross multiply
    294,686.68x = 442,160.70 × 154,411.96
  4. Step 4: Simplify right side
    294,686.68x = 68,274,900,321.97
  5. Step 5: Solve for x
    x = 68,274,900,321.97/294,686.68
  6. Step 6: Final answer
    x = 231,686.41

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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.