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Finding the Fourth Proportional to 538,171, 742,676.16 and 311,947.72

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Solution

The fourth proportional to 538,171, 742,676.16 and 311,947.72 is: 430,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,171 : 742,676.16 = 311,947.72 : x
  2. Step 2: Convert to fraction form
    538,171/742,676.16 = 311,947.72/x
  3. Step 3: Cross multiply
    538,171x = 742,676.16 × 311,947.72
  4. Step 4: Simplify right side
    538,171x = 231,676,134,810.36
  5. Step 5: Solve for x
    x = 231,676,134,810.36/538,171
  6. Step 6: Final answer
    x = 430,487.96

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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.