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Finding the Fourth Proportional to 485,677, 670,234.26 and 284,473

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Solution

The fourth proportional to 485,677, 670,234.26 and 284,473 is: 392,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,677 : 670,234.26 = 284,473 : x
  2. Step 2: Convert to fraction form
    485,677/670,234.26 = 284,473/x
  3. Step 3: Cross multiply
    485,677x = 670,234.26 × 284,473
  4. Step 4: Simplify right side
    485,677x = 190,663,550,644.98
  5. Step 5: Solve for x
    x = 190,663,550,644.98/485,677
  6. Step 6: Final answer
    x = 392,572.74

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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.