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Finding the Fourth Proportional to 390,843.20, 584,515.20 and 327,857.60

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Solution

The fourth proportional to 390,843.20, 584,515.20 and 327,857.60 is: 490,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,843.20 : 584,515.20 = 327,857.60 : x
  2. Step 2: Convert to fraction form
    390,843.20/584,515.20 = 327,857.60/x
  3. Step 3: Cross multiply
    390,843.20x = 584,515.20 × 327,857.60
  4. Step 4: Simplify right side
    390,843.20x = 191,637,750,635.52
  5. Step 5: Solve for x
    x = 191,637,750,635.52/390,843.20
  6. Step 6: Final answer
    x = 490,318.75

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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.