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Finding the Fourth Proportional to 386,513.20, 580,057.80 and 199,428.40

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Solution

The fourth proportional to 386,513.20, 580,057.80 and 199,428.40 is: 299,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,513.20 : 580,057.80 = 199,428.40 : x
  2. Step 2: Convert to fraction form
    386,513.20/580,057.80 = 199,428.40/x
  3. Step 3: Cross multiply
    386,513.20x = 580,057.80 × 199,428.40
  4. Step 4: Simplify right side
    386,513.20x = 115,679,998,961.52
  5. Step 5: Solve for x
    x = 115,679,998,961.52/386,513.20
  6. Step 6: Final answer
    x = 299,291.20

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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.