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Finding the Fourth Proportional to 402,078.20, 603,117.30 and 260,360.60

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Solution

The fourth proportional to 402,078.20, 603,117.30 and 260,360.60 is: 390,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,078.20 : 603,117.30 = 260,360.60 : x
  2. Step 2: Convert to fraction form
    402,078.20/603,117.30 = 260,360.60/x
  3. Step 3: Cross multiply
    402,078.20x = 603,117.30 × 260,360.60
  4. Step 4: Simplify right side
    402,078.20x = 157,027,982,098.38
  5. Step 5: Solve for x
    x = 157,027,982,098.38/402,078.20
  6. Step 6: Final answer
    x = 390,540.90

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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.