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Finding the Fourth Proportional to 828,489.76, 1,143,305 and 465,913.50

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Solution

The fourth proportional to 828,489.76, 1,143,305 and 465,913.50 is: 642,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,489.76 : 1,143,305 = 465,913.50 : x
  2. Step 2: Convert to fraction form
    828,489.76/1,143,305 = 465,913.50/x
  3. Step 3: Cross multiply
    828,489.76x = 1,143,305 × 465,913.50
  4. Step 4: Simplify right side
    828,489.76x = 532,681,234,117.50
  5. Step 5: Solve for x
    x = 532,681,234,117.50/828,489.76
  6. Step 6: Final answer
    x = 642,954.52

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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.