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Finding the Fourth Proportional to 294,931.80, 442,397.70 and 161,760.60

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Solution

The fourth proportional to 294,931.80, 442,397.70 and 161,760.60 is: 242,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,931.80 : 442,397.70 = 161,760.60 : x
  2. Step 2: Convert to fraction form
    294,931.80/442,397.70 = 161,760.60/x
  3. Step 3: Cross multiply
    294,931.80x = 442,397.70 × 161,760.60
  4. Step 4: Simplify right side
    294,931.80x = 71,562,517,390.62
  5. Step 5: Solve for x
    x = 71,562,517,390.62/294,931.80
  6. Step 6: Final answer
    x = 242,640.90

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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.