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Finding the Fourth Proportional to 288,211.14, 431,966.70 and 203,995.98

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Solution

The fourth proportional to 288,211.14, 431,966.70 and 203,995.98 is: 305,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,211.14 : 431,966.70 = 203,995.98 : x
  2. Step 2: Convert to fraction form
    288,211.14/431,966.70 = 203,995.98/x
  3. Step 3: Cross multiply
    288,211.14x = 431,966.70 × 203,995.98
  4. Step 4: Simplify right side
    288,211.14x = 88,119,470,293.87
  5. Step 5: Solve for x
    x = 88,119,470,293.87/288,211.14
  6. Step 6: Final answer
    x = 305,746.23

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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.