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Finding the Fourth Proportional to 512,146.20, 706,761.72 and 282,703.44

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Solution

The fourth proportional to 512,146.20, 706,761.72 and 282,703.44 is: 390,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,146.20 : 706,761.72 = 282,703.44 : x
  2. Step 2: Convert to fraction form
    512,146.20/706,761.72 = 282,703.44/x
  3. Step 3: Cross multiply
    512,146.20x = 706,761.72 × 282,703.44
  4. Step 4: Simplify right side
    512,146.20x = 199,803,969,504.32
  5. Step 5: Solve for x
    x = 199,803,969,504.32/512,146.20
  6. Step 6: Final answer
    x = 390,130.73

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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.