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Finding the Fourth Proportional to 288,694.51, 433,152.70 and 203,387.38

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Solution

The fourth proportional to 288,694.51, 433,152.70 and 203,387.38 is: 305,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694.51 : 433,152.70 = 203,387.38 : x
  2. Step 2: Convert to fraction form
    288,694.51/433,152.70 = 203,387.38/x
  3. Step 3: Cross multiply
    288,694.51x = 433,152.70 × 203,387.38
  4. Step 4: Simplify right side
    288,694.51x = 88,097,791,201.58
  5. Step 5: Solve for x
    x = 88,097,791,201.58/288,694.51
  6. Step 6: Final answer
    x = 305,159.22

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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.