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Finding the Fourth Proportional to 457,139, 685,576.10 and 137,277.96

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Solution

The fourth proportional to 457,139, 685,576.10 and 137,277.96 is: 205,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,139 : 685,576.10 = 137,277.96 : x
  2. Step 2: Convert to fraction form
    457,139/685,576.10 = 137,277.96/x
  3. Step 3: Cross multiply
    457,139x = 685,576.10 × 137,277.96
  4. Step 4: Simplify right side
    457,139x = 94,114,488,432.76
  5. Step 5: Solve for x
    x = 94,114,488,432.76/457,139
  6. Step 6: Final answer
    x = 205,877.18

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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.