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Finding the Fourth Proportional to 390,042.40, 585,082.80 and 203,418.40

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Solution

The fourth proportional to 390,042.40, 585,082.80 and 203,418.40 is: 305,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,042.40 : 585,082.80 = 203,418.40 : x
  2. Step 2: Convert to fraction form
    390,042.40/585,082.80 = 203,418.40/x
  3. Step 3: Cross multiply
    390,042.40x = 585,082.80 × 203,418.40
  4. Step 4: Simplify right side
    390,042.40x = 119,016,607,043.52
  5. Step 5: Solve for x
    x = 119,016,607,043.52/390,042.40
  6. Step 6: Final answer
    x = 305,137.61

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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.