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Finding the Fourth Proportional to 646,002.32, 891,471.24 and 359,519.88

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Solution

The fourth proportional to 646,002.32, 891,471.24 and 359,519.88 is: 496,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,002.32 : 891,471.24 = 359,519.88 : x
  2. Step 2: Convert to fraction form
    646,002.32/891,471.24 = 359,519.88/x
  3. Step 3: Cross multiply
    646,002.32x = 891,471.24 × 359,519.88
  4. Step 4: Simplify right side
    646,002.32x = 320,501,633,228.25
  5. Step 5: Solve for x
    x = 320,501,633,228.25/646,002.32
  6. Step 6: Final answer
    x = 496,130.78

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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.