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Finding the Fourth Proportional to 512,886.98, 707,800.31 and 280,308.82

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Solution

The fourth proportional to 512,886.98, 707,800.31 and 280,308.82 is: 386,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,886.98 : 707,800.31 = 280,308.82 : x
  2. Step 2: Convert to fraction form
    512,886.98/707,800.31 = 280,308.82/x
  3. Step 3: Cross multiply
    512,886.98x = 707,800.31 × 280,308.82
  4. Step 4: Simplify right side
    512,886.98x = 198,402,666,152.73
  5. Step 5: Solve for x
    x = 198,402,666,152.73/512,886.98
  6. Step 6: Final answer
    x = 386,835.06

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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.