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Finding the Fourth Proportional to 398,251.89, 597,077.06 and 240,442.65

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Solution

The fourth proportional to 398,251.89, 597,077.06 and 240,442.65 is: 360,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,251.89 : 597,077.06 = 240,442.65 : x
  2. Step 2: Convert to fraction form
    398,251.89/597,077.06 = 240,442.65/x
  3. Step 3: Cross multiply
    398,251.89x = 597,077.06 × 240,442.65
  4. Step 4: Simplify right side
    398,251.89x = 143,562,789,358.40
  5. Step 5: Solve for x
    x = 143,562,789,358.40/398,251.89
  6. Step 6: Final answer
    x = 360,482.38

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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.