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Finding the Fourth Proportional to 278,051.51, 383,713.13 and 150,728.02

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Solution

The fourth proportional to 278,051.51, 383,713.13 and 150,728.02 is: 208,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,051.51 : 383,713.13 = 150,728.02 : x
  2. Step 2: Convert to fraction form
    278,051.51/383,713.13 = 150,728.02/x
  3. Step 3: Cross multiply
    278,051.51x = 383,713.13 × 150,728.02
  4. Step 4: Simplify right side
    278,051.51x = 57,836,320,332.90
  5. Step 5: Solve for x
    x = 57,836,320,332.90/278,051.51
  6. Step 6: Final answer
    x = 208,005.78

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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.