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Finding the Fourth Proportional to 288,011.80, 431,261.70 and 203,314.60

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Solution

The fourth proportional to 288,011.80, 431,261.70 and 203,314.60 is: 304,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,011.80 : 431,261.70 = 203,314.60 : x
  2. Step 2: Convert to fraction form
    288,011.80/431,261.70 = 203,314.60/x
  3. Step 3: Cross multiply
    288,011.80x = 431,261.70 × 203,314.60
  4. Step 4: Simplify right side
    288,011.80x = 87,681,800,030.82
  5. Step 5: Solve for x
    x = 87,681,800,030.82/288,011.80
  6. Step 6: Final answer
    x = 304,438.22

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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.