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Finding the Fourth Proportional to 457,135, 685,570.11 and 137,273.95

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Solution

The fourth proportional to 457,135, 685,570.11 and 137,273.95 is: 205,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,135 : 685,570.11 = 137,273.95 : x
  2. Step 2: Convert to fraction form
    457,135/685,570.11 = 137,273.95/x
  3. Step 3: Cross multiply
    457,135x = 685,570.11 × 137,273.95
  4. Step 4: Simplify right side
    457,135x = 94,110,917,001.63
  5. Step 5: Solve for x
    x = 94,110,917,001.63/457,135
  6. Step 6: Final answer
    x = 205,871.17

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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.