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Finding the Fourth Proportional to 475,640.06, 713,473.08 and 138,672.57

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Solution

The fourth proportional to 475,640.06, 713,473.08 and 138,672.57 is: 208,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,640.06 : 713,473.08 = 138,672.57 : x
  2. Step 2: Convert to fraction form
    475,640.06/713,473.08 = 138,672.57/x
  3. Step 3: Cross multiply
    475,640.06x = 713,473.08 × 138,672.57
  4. Step 4: Simplify right side
    475,640.06x = 98,939,145,629.42
  5. Step 5: Solve for x
    x = 98,939,145,629.42/475,640.06
  6. Step 6: Final answer
    x = 208,012.64

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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.