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Finding the Fourth Proportional to 819,257, 1,229,092.86 and 228,281

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Solution

The fourth proportional to 819,257, 1,229,092.86 and 228,281 is: 342,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,257 : 1,229,092.86 = 228,281 : x
  2. Step 2: Convert to fraction form
    819,257/1,229,092.86 = 228,281/x
  3. Step 3: Cross multiply
    819,257x = 1,229,092.86 × 228,281
  4. Step 4: Simplify right side
    819,257x = 280,578,547,173.66
  5. Step 5: Solve for x
    x = 280,578,547,173.66/819,257
  6. Step 6: Final answer
    x = 342,479.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.