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Finding the Fourth Proportional to 278,042, 383,695.80 and 150,714.32

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Solution

The fourth proportional to 278,042, 383,695.80 and 150,714.32 is: 207,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,042 : 383,695.80 = 150,714.32 : x
  2. Step 2: Convert to fraction form
    278,042/383,695.80 = 150,714.32/x
  3. Step 3: Cross multiply
    278,042x = 383,695.80 × 150,714.32
  4. Step 4: Simplify right side
    278,042x = 57,828,451,583.86
  5. Step 5: Solve for x
    x = 57,828,451,583.86/278,042
  6. Step 6: Final answer
    x = 207,984.59

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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.