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Finding the Fourth Proportional to 278,160, 413,661.72 and 269,302.92

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Solution

The fourth proportional to 278,160, 413,661.72 and 269,302.92 is: 400,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,160 : 413,661.72 = 269,302.92 : x
  2. Step 2: Convert to fraction form
    278,160/413,661.72 = 269,302.92/x
  3. Step 3: Cross multiply
    278,160x = 413,661.72 × 269,302.92
  4. Step 4: Simplify right side
    278,160x = 111,400,309,088.22
  5. Step 5: Solve for x
    x = 111,400,309,088.22/278,160
  6. Step 6: Final answer
    x = 400,490.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.