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Finding the Fourth Proportional to 512,115.75, 706,719.80 and 282,673.11

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Solution

The fourth proportional to 512,115.75, 706,719.80 and 282,673.11 is: 390,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,115.75 : 706,719.80 = 282,673.11 : x
  2. Step 2: Convert to fraction form
    512,115.75/706,719.80 = 282,673.11/x
  3. Step 3: Cross multiply
    512,115.75x = 706,719.80 × 282,673.11
  4. Step 4: Simplify right side
    512,115.75x = 199,770,685,531.42
  5. Step 5: Solve for x
    x = 199,770,685,531.42/512,115.75
  6. Step 6: Final answer
    x = 390,088.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.