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Finding the Fourth Proportional to 390,055.20, 584,645.40 and 200,442.30

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Solution

The fourth proportional to 390,055.20, 584,645.40 and 200,442.30 is: 300,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,055.20 : 584,645.40 = 200,442.30 : x
  2. Step 2: Convert to fraction form
    390,055.20/584,645.40 = 200,442.30/x
  3. Step 3: Cross multiply
    390,055.20x = 584,645.40 × 200,442.30
  4. Step 4: Simplify right side
    390,055.20x = 117,187,668,660.42
  5. Step 5: Solve for x
    x = 117,187,668,660.42/390,055.20
  6. Step 6: Final answer
    x = 300,438.68

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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.