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Finding the Fourth Proportional to 512,145.41, 706,760.64 and 282,702.78

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Solution

The fourth proportional to 512,145.41, 706,760.64 and 282,702.78 is: 390,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.41 : 706,760.64 = 282,702.78 : x
  2. Step 2: Convert to fraction form
    512,145.41/706,760.64 = 282,702.78/x
  3. Step 3: Cross multiply
    512,145.41x = 706,760.64 × 282,702.78
  4. Step 4: Simplify right side
    512,145.41x = 199,803,197,722.58
  5. Step 5: Solve for x
    x = 199,803,197,722.58/512,145.41
  6. Step 6: Final answer
    x = 390,129.83

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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.