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Finding the Fourth Proportional to 646,215.68, 891,757.68 and 359,729.48

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Solution

The fourth proportional to 646,215.68, 891,757.68 and 359,729.48 is: 496,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,215.68 : 891,757.68 = 359,729.48 : x
  2. Step 2: Convert to fraction form
    646,215.68/891,757.68 = 359,729.48/x
  3. Step 3: Cross multiply
    646,215.68x = 891,757.68 × 359,729.48
  4. Step 4: Simplify right side
    646,215.68x = 320,791,526,512.41
  5. Step 5: Solve for x
    x = 320,791,526,512.41/646,215.68
  6. Step 6: Final answer
    x = 496,415.57

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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.