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Finding the Fourth Proportional to 294,264, 406,084.32 and 160,128.96

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Solution

The fourth proportional to 294,264, 406,084.32 and 160,128.96 is: 220,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,264 : 406,084.32 = 160,128.96 : x
  2. Step 2: Convert to fraction form
    294,264/406,084.32 = 160,128.96/x
  3. Step 3: Cross multiply
    294,264x = 406,084.32 × 160,128.96
  4. Step 4: Simplify right side
    294,264x = 65,025,859,833.91
  5. Step 5: Solve for x
    x = 65,025,859,833.91/294,264
  6. Step 6: Final answer
    x = 220,977.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.