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Finding the Fourth Proportional to 278,045.24, 416,745.18 and 127,970.42

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Solution

The fourth proportional to 278,045.24, 416,745.18 and 127,970.42 is: 191,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.24 : 416,745.18 = 127,970.42 : x
  2. Step 2: Convert to fraction form
    278,045.24/416,745.18 = 127,970.42/x
  3. Step 3: Cross multiply
    278,045.24x = 416,745.18 × 127,970.42
  4. Step 4: Simplify right side
    278,045.24x = 53,331,055,717.58
  5. Step 5: Solve for x
    x = 53,331,055,717.58/278,045.24
  6. Step 6: Final answer
    x = 191,807.12

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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.