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Finding the Fourth Proportional to 390,983.40, 586,212.30 and 154,204.20

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Solution

The fourth proportional to 390,983.40, 586,212.30 and 154,204.20 is: 231,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,983.40 : 586,212.30 = 154,204.20 : x
  2. Step 2: Convert to fraction form
    390,983.40/586,212.30 = 154,204.20/x
  3. Step 3: Cross multiply
    390,983.40x = 586,212.30 × 154,204.20
  4. Step 4: Simplify right side
    390,983.40x = 90,396,398,751.66
  5. Step 5: Solve for x
    x = 90,396,398,751.66/390,983.40
  6. Step 6: Final answer
    x = 231,202.65

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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.