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Finding the Fourth Proportional to 288,020.63, 431,993.01 and 85,612.41

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Solution

The fourth proportional to 288,020.63, 431,993.01 and 85,612.41 is: 128,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,020.63 : 431,993.01 = 85,612.41 : x
  2. Step 2: Convert to fraction form
    288,020.63/431,993.01 = 85,612.41/x
  3. Step 3: Cross multiply
    288,020.63x = 431,993.01 × 85,612.41
  4. Step 4: Simplify right side
    288,020.63x = 36,983,962,689.25
  5. Step 5: Solve for x
    x = 36,983,962,689.25/288,020.63
  6. Step 6: Final answer
    x = 128,407.34

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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.