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Finding the Fourth Proportional to 847,506, 1,169,662.23 and 489,810

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Solution

The fourth proportional to 847,506, 1,169,662.23 and 489,810 is: 675,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,506 : 1,169,662.23 = 489,810 : x
  2. Step 2: Convert to fraction form
    847,506/1,169,662.23 = 489,810/x
  3. Step 3: Cross multiply
    847,506x = 1,169,662.23 × 489,810
  4. Step 4: Simplify right side
    847,506x = 572,912,256,876.30
  5. Step 5: Solve for x
    x = 572,912,256,876.30/847,506
  6. Step 6: Final answer
    x = 675,997.88

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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.