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Finding the Fourth Proportional to 402,513.20, 603,769.80 and 302,129.90

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Solution

The fourth proportional to 402,513.20, 603,769.80 and 302,129.90 is: 453,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,513.20 : 603,769.80 = 302,129.90 : x
  2. Step 2: Convert to fraction form
    402,513.20/603,769.80 = 302,129.90/x
  3. Step 3: Cross multiply
    402,513.20x = 603,769.80 × 302,129.90
  4. Step 4: Simplify right side
    402,513.20x = 182,416,909,297.02
  5. Step 5: Solve for x
    x = 182,416,909,297.02/402,513.20
  6. Step 6: Final answer
    x = 453,194.85

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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.