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Finding the Fourth Proportional to 278,058.59, 416,838.20 and 128,222.36

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Solution

The fourth proportional to 278,058.59, 416,838.20 and 128,222.36 is: 192,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,058.59 : 416,838.20 = 128,222.36 : x
  2. Step 2: Convert to fraction form
    278,058.59/416,838.20 = 128,222.36/x
  3. Step 3: Cross multiply
    278,058.59x = 416,838.20 × 128,222.36
  4. Step 4: Simplify right side
    278,058.59x = 53,447,975,016.85
  5. Step 5: Solve for x
    x = 53,447,975,016.85/278,058.59
  6. Step 6: Final answer
    x = 192,218.40

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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.