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Finding the Fourth Proportional to 512,112.02, 706,714.66 and 282,669.38

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Solution

The fourth proportional to 512,112.02, 706,714.66 and 282,669.38 is: 390,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,112.02 : 706,714.66 = 282,669.38 : x
  2. Step 2: Convert to fraction form
    512,112.02/706,714.66 = 282,669.38/x
  3. Step 3: Cross multiply
    512,112.02x = 706,714.66 × 282,669.38
  4. Step 4: Simplify right side
    512,112.02x = 199,766,592,659.04
  5. Step 5: Solve for x
    x = 199,766,592,659.04/512,112.02
  6. Step 6: Final answer
    x = 390,083.78

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1.5x scale

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.