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Finding the Fourth Proportional to 667,871.33, 921,728.84 and 381,434.54

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Solution

The fourth proportional to 667,871.33, 921,728.84 and 381,434.54 is: 526,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,871.33 : 921,728.84 = 381,434.54 : x
  2. Step 2: Convert to fraction form
    667,871.33/921,728.84 = 381,434.54/x
  3. Step 3: Cross multiply
    667,871.33x = 921,728.84 × 381,434.54
  4. Step 4: Simplify right side
    667,871.33x = 351,579,209,574.32
  5. Step 5: Solve for x
    x = 351,579,209,574.32/667,871.33
  6. Step 6: Final answer
    x = 526,417.58

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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.