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Finding the Fourth Proportional to 402,206.80, 603,310.20 and 165,719.20

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Solution

The fourth proportional to 402,206.80, 603,310.20 and 165,719.20 is: 248,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,206.80 : 603,310.20 = 165,719.20 : x
  2. Step 2: Convert to fraction form
    402,206.80/603,310.20 = 165,719.20/x
  3. Step 3: Cross multiply
    402,206.80x = 603,310.20 × 165,719.20
  4. Step 4: Simplify right side
    402,206.80x = 99,980,083,695.84
  5. Step 5: Solve for x
    x = 99,980,083,695.84/402,206.80
  6. Step 6: Final answer
    x = 248,578.80

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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.