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Finding the Fourth Proportional to 278,162.78, 383,864.28 and 150,838.16

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Solution

The fourth proportional to 278,162.78, 383,864.28 and 150,838.16 is: 208,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,162.78 : 383,864.28 = 150,838.16 : x
  2. Step 2: Convert to fraction form
    278,162.78/383,864.28 = 150,838.16/x
  3. Step 3: Cross multiply
    278,162.78x = 383,864.28 × 150,838.16
  4. Step 4: Simplify right side
    278,162.78x = 57,901,381,684.92
  5. Step 5: Solve for x
    x = 57,901,381,684.92/278,162.78
  6. Step 6: Final answer
    x = 208,156.47

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1.5x scale

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.