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Finding the Fourth Proportional to 408,138.92, 612,214.56 and 155,433.40

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Solution

The fourth proportional to 408,138.92, 612,214.56 and 155,433.40 is: 233,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,138.92 : 612,214.56 = 155,433.40 : x
  2. Step 2: Convert to fraction form
    408,138.92/612,214.56 = 155,433.40/x
  3. Step 3: Cross multiply
    408,138.92x = 612,214.56 × 155,433.40
  4. Step 4: Simplify right side
    408,138.92x = 95,158,590,590.30
  5. Step 5: Solve for x
    x = 95,158,590,590.30/408,138.92
  6. Step 6: Final answer
    x = 233,152.45

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1.5x scale

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.