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Finding the Fourth Proportional to 485,815, 670,483.20 and 284,611

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Solution

The fourth proportional to 485,815, 670,483.20 and 284,611 is: 392,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,815 : 670,483.20 = 284,611 : x
  2. Step 2: Convert to fraction form
    485,815/670,483.20 = 284,611/x
  3. Step 3: Cross multiply
    485,815x = 670,483.20 × 284,611
  4. Step 4: Simplify right side
    485,815x = 190,826,894,035.20
  5. Step 5: Solve for x
    x = 190,826,894,035.20/485,815
  6. Step 6: Final answer
    x = 392,797.45

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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.