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Finding the Fourth Proportional to 288,657.80, 433,057.30 and 203,434.94

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Solution

The fourth proportional to 288,657.80, 433,057.30 and 203,434.94 is: 305,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,657.80 : 433,057.30 = 203,434.94 : x
  2. Step 2: Convert to fraction form
    288,657.80/433,057.30 = 203,434.94/x
  3. Step 3: Cross multiply
    288,657.80x = 433,057.30 × 203,434.94
  4. Step 4: Simplify right side
    288,657.80x = 88,098,985,842.06
  5. Step 5: Solve for x
    x = 88,098,985,842.06/288,657.80
  6. Step 6: Final answer
    x = 305,202.17

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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.