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Finding the Fourth Proportional to 538,087, 742,560.08 and 311,863.72

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Solution

The fourth proportional to 538,087, 742,560.08 and 311,863.72 is: 430,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,087 : 742,560.08 = 311,863.72 : x
  2. Step 2: Convert to fraction form
    538,087/742,560.08 = 311,863.72/x
  3. Step 3: Cross multiply
    538,087x = 742,560.08 × 311,863.72
  4. Step 4: Simplify right side
    538,087x = 231,577,548,872.30
  5. Step 5: Solve for x
    x = 231,577,548,872.30/538,087
  6. Step 6: Final answer
    x = 430,371.95

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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.