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Finding the Fourth Proportional to 804,770.71, 1,207,151.27 and 205,730.92

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Solution

The fourth proportional to 804,770.71, 1,207,151.27 and 205,730.92 is: 308,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,770.71 : 1,207,151.27 = 205,730.92 : x
  2. Step 2: Convert to fraction form
    804,770.71/1,207,151.27 = 205,730.92/x
  3. Step 3: Cross multiply
    804,770.71x = 1,207,151.27 × 205,730.92
  4. Step 4: Simplify right side
    804,770.71x = 248,348,342,608.04
  5. Step 5: Solve for x
    x = 248,348,342,608.04/804,770.71
  6. Step 6: Final answer
    x = 308,595.16

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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.