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Finding the Fourth Proportional to 431,520.48, 646,862.76 and 165,075.84

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Solution

The fourth proportional to 431,520.48, 646,862.76 and 165,075.84 is: 247,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,520.48 : 646,862.76 = 165,075.84 : x
  2. Step 2: Convert to fraction form
    431,520.48/646,862.76 = 165,075.84/x
  3. Step 3: Cross multiply
    431,520.48x = 646,862.76 × 165,075.84
  4. Step 4: Simplify right side
    431,520.48x = 106,781,413,471.72
  5. Step 5: Solve for x
    x = 106,781,413,471.72/431,520.48
  6. Step 6: Final answer
    x = 247,453.87

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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.