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Finding the Fourth Proportional to 330,784.29, 495,716.76 and 172,697.40

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Solution

The fourth proportional to 330,784.29, 495,716.76 and 172,697.40 is: 258,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,784.29 : 495,716.76 = 172,697.40 : x
  2. Step 2: Convert to fraction form
    330,784.29/495,716.76 = 172,697.40/x
  3. Step 3: Cross multiply
    330,784.29x = 495,716.76 × 172,697.40
  4. Step 4: Simplify right side
    330,784.29x = 85,608,995,588.42
  5. Step 5: Solve for x
    x = 85,608,995,588.42/330,784.29
  6. Step 6: Final answer
    x = 258,806.11

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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.