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Finding the Fourth Proportional to 475,494.57, 713,205.50 and 138,537.81

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Solution

The fourth proportional to 475,494.57, 713,205.50 and 138,537.81 is: 207,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,494.57 : 713,205.50 = 138,537.81 : x
  2. Step 2: Convert to fraction form
    475,494.57/713,205.50 = 138,537.81/x
  3. Step 3: Cross multiply
    475,494.57x = 713,205.50 × 138,537.81
  4. Step 4: Simplify right side
    475,494.57x = 98,805,927,357.27
  5. Step 5: Solve for x
    x = 98,805,927,357.27/475,494.57
  6. Step 6: Final answer
    x = 207,796.12

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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.