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Finding the Fourth Proportional to 386,246.40, 578,057.40 and 339,007.20

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Solution

The fourth proportional to 386,246.40, 578,057.40 and 339,007.20 is: 507,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,246.40 : 578,057.40 = 339,007.20 : x
  2. Step 2: Convert to fraction form
    386,246.40/578,057.40 = 339,007.20/x
  3. Step 3: Cross multiply
    386,246.40x = 578,057.40 × 339,007.20
  4. Step 4: Simplify right side
    386,246.40x = 195,965,620,613.28
  5. Step 5: Solve for x
    x = 195,965,620,613.28/386,246.40
  6. Step 6: Final answer
    x = 507,359.09

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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.