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Finding the Fourth Proportional to 631,766.40, 871,824.68 and 345,288.52

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Solution

The fourth proportional to 631,766.40, 871,824.68 and 345,288.52 is: 476,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,766.40 : 871,824.68 = 345,288.52 : x
  2. Step 2: Convert to fraction form
    631,766.40/871,824.68 = 345,288.52/x
  3. Step 3: Cross multiply
    631,766.40x = 871,824.68 × 345,288.52
  4. Step 4: Simplify right side
    631,766.40x = 301,031,053,456.67
  5. Step 5: Solve for x
    x = 301,031,053,456.67/631,766.40
  6. Step 6: Final answer
    x = 476,491.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.