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Finding the Fourth Proportional to 402,512.70, 603,769.05 and 302,129.40

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Solution

The fourth proportional to 402,512.70, 603,769.05 and 302,129.40 is: 453,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,512.70 : 603,769.05 = 302,129.40 : x
  2. Step 2: Convert to fraction form
    402,512.70/603,769.05 = 302,129.40/x
  3. Step 3: Cross multiply
    402,512.70x = 603,769.05 × 302,129.40
  4. Step 4: Simplify right side
    402,512.70x = 182,416,380,815.07
  5. Step 5: Solve for x
    x = 182,416,380,815.07/402,512.70
  6. Step 6: Final answer
    x = 453,194.10

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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.