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Finding the Fourth Proportional to 253,430.80, 379,685.40 and 206,429.20

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Solution

The fourth proportional to 253,430.80, 379,685.40 and 206,429.20 is: 309,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,430.80 : 379,685.40 = 206,429.20 : x
  2. Step 2: Convert to fraction form
    253,430.80/379,685.40 = 206,429.20/x
  3. Step 3: Cross multiply
    253,430.80x = 379,685.40 × 206,429.20
  4. Step 4: Simplify right side
    253,430.80x = 78,378,153,373.68
  5. Step 5: Solve for x
    x = 78,378,153,373.68/253,430.80
  6. Step 6: Final answer
    x = 309,268.46

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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.