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Finding the Fourth Proportional to 329,585.76, 494,378.64 and 312,756.80

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Solution

The fourth proportional to 329,585.76, 494,378.64 and 312,756.80 is: 469,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,585.76 : 494,378.64 = 312,756.80 : x
  2. Step 2: Convert to fraction form
    329,585.76/494,378.64 = 312,756.80/x
  3. Step 3: Cross multiply
    329,585.76x = 494,378.64 × 312,756.80
  4. Step 4: Simplify right side
    329,585.76x = 154,620,278,962.86
  5. Step 5: Solve for x
    x = 154,620,278,962.86/329,585.76
  6. Step 6: Final answer
    x = 469,135.19

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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.