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Finding the Fourth Proportional to 687,805.51, 949,201.24 and 381,881.90

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Solution

The fourth proportional to 687,805.51, 949,201.24 and 381,881.90 is: 527,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,805.51 : 949,201.24 = 381,881.90 : x
  2. Step 2: Convert to fraction form
    687,805.51/949,201.24 = 381,881.90/x
  3. Step 3: Cross multiply
    687,805.51x = 949,201.24 × 381,881.90
  4. Step 4: Simplify right side
    687,805.51x = 362,482,773,013.56
  5. Step 5: Solve for x
    x = 362,482,773,013.56/687,805.51
  6. Step 6: Final answer
    x = 527,013.48

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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.