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Finding the Fourth Proportional to 689,728.24, 951,824.76 and 387,922

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Solution

The fourth proportional to 689,728.24, 951,824.76 and 387,922 is: 535,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,728.24 : 951,824.76 = 387,922 : x
  2. Step 2: Convert to fraction form
    689,728.24/951,824.76 = 387,922/x
  3. Step 3: Cross multiply
    689,728.24x = 951,824.76 × 387,922
  4. Step 4: Simplify right side
    689,728.24x = 369,233,764,548.72
  5. Step 5: Solve for x
    x = 369,233,764,548.72/689,728.24
  6. Step 6: Final answer
    x = 535,332.24

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1.5x scale

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.