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Finding the Fourth Proportional to 278,034, 383,684.76 and 150,706.32

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Solution

The fourth proportional to 278,034, 383,684.76 and 150,706.32 is: 207,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,034 : 383,684.76 = 150,706.32 : x
  2. Step 2: Convert to fraction form
    278,034/383,684.76 = 150,706.32/x
  3. Step 3: Cross multiply
    278,034x = 383,684.76 × 150,706.32
  4. Step 4: Simplify right side
    278,034x = 57,823,718,219.68
  5. Step 5: Solve for x
    x = 57,823,718,219.68/278,034
  6. Step 6: Final answer
    x = 207,973.55

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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.