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Finding the Fourth Proportional to 431,253.87, 646,165.71 and 262,263.03

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Solution

The fourth proportional to 431,253.87, 646,165.71 and 262,263.03 is: 392,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,253.87 : 646,165.71 = 262,263.03 : x
  2. Step 2: Convert to fraction form
    431,253.87/646,165.71 = 262,263.03/x
  3. Step 3: Cross multiply
    431,253.87x = 646,165.71 × 262,263.03
  4. Step 4: Simplify right side
    431,253.87x = 169,465,376,986.70
  5. Step 5: Solve for x
    x = 169,465,376,986.70/431,253.87
  6. Step 6: Final answer
    x = 392,959.67

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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.