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Finding the Fourth Proportional to 316,342.31, 474,513.46 and 138,850.85

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Solution

The fourth proportional to 316,342.31, 474,513.46 and 138,850.85 is: 208,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,342.31 : 474,513.46 = 138,850.85 : x
  2. Step 2: Convert to fraction form
    316,342.31/474,513.46 = 138,850.85/x
  3. Step 3: Cross multiply
    316,342.31x = 474,513.46 × 138,850.85
  4. Step 4: Simplify right side
    316,342.31x = 65,886,596,563.19
  5. Step 5: Solve for x
    x = 65,886,596,563.19/316,342.31
  6. Step 6: Final answer
    x = 208,276.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.