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Finding the Fourth Proportional to 633,329.32, 949,891.92 and 278,277.16

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Solution

The fourth proportional to 633,329.32, 949,891.92 and 278,277.16 is: 417,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,329.32 : 949,891.92 = 278,277.16 : x
  2. Step 2: Convert to fraction form
    633,329.32/949,891.92 = 278,277.16/x
  3. Step 3: Cross multiply
    633,329.32x = 949,891.92 × 278,277.16
  4. Step 4: Simplify right side
    633,329.32x = 264,333,225,804.55
  5. Step 5: Solve for x
    x = 264,333,225,804.55/633,329.32
  6. Step 6: Final answer
    x = 417,370.90

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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.