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Finding the Fourth Proportional to 416,499.28, 574,339.40 and 356,269.30

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Solution

The fourth proportional to 416,499.28, 574,339.40 and 356,269.30 is: 491,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,499.28 : 574,339.40 = 356,269.30 : x
  2. Step 2: Convert to fraction form
    416,499.28/574,339.40 = 356,269.30/x
  3. Step 3: Cross multiply
    416,499.28x = 574,339.40 × 356,269.30
  4. Step 4: Simplify right side
    416,499.28x = 204,619,496,000.42
  5. Step 5: Solve for x
    x = 204,619,496,000.42/416,499.28
  6. Step 6: Final answer
    x = 491,284.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.