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Finding the Fourth Proportional to 327,946.80, 491,920.20 and 291,205.20

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Solution

The fourth proportional to 327,946.80, 491,920.20 and 291,205.20 is: 436,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,946.80 : 491,920.20 = 291,205.20 : x
  2. Step 2: Convert to fraction form
    327,946.80/491,920.20 = 291,205.20/x
  3. Step 3: Cross multiply
    327,946.80x = 491,920.20 × 291,205.20
  4. Step 4: Simplify right side
    327,946.80x = 143,249,720,225.04
  5. Step 5: Solve for x
    x = 143,249,720,225.04/327,946.80
  6. Step 6: Final answer
    x = 436,807.80

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1.5x scale

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.