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Finding the Fourth Proportional to 633,319.32, 949,876.92 and 278,267.16

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Solution

The fourth proportional to 633,319.32, 949,876.92 and 278,267.16 is: 417,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,319.32 : 949,876.92 = 278,267.16 : x
  2. Step 2: Convert to fraction form
    633,319.32/949,876.92 = 278,267.16/x
  3. Step 3: Cross multiply
    633,319.32x = 949,876.92 × 278,267.16
  4. Step 4: Simplify right side
    633,319.32x = 264,319,552,877.95
  5. Step 5: Solve for x
    x = 264,319,552,877.95/633,319.32
  6. Step 6: Final answer
    x = 417,355.90

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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.