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Finding the Fourth Proportional to 278,065.94, 417,223.52 and 128,225.91

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Solution

The fourth proportional to 278,065.94, 417,223.52 and 128,225.91 is: 192,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,065.94 : 417,223.52 = 128,225.91 : x
  2. Step 2: Convert to fraction form
    278,065.94/417,223.52 = 128,225.91/x
  3. Step 3: Cross multiply
    278,065.94x = 417,223.52 × 128,225.91
  4. Step 4: Simplify right side
    278,065.94x = 53,498,865,525.40
  5. Step 5: Solve for x
    x = 53,498,865,525.40/278,065.94
  6. Step 6: Final answer
    x = 192,396.33

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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.