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Finding the Fourth Proportional to 976,743, 1,471,769.73 and 803,138.76

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Solution

The fourth proportional to 976,743, 1,471,769.73 and 803,138.76 is: 1,210,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,743 : 1,471,769.73 = 803,138.76 : x
  2. Step 2: Convert to fraction form
    976,743/1,471,769.73 = 803,138.76/x
  3. Step 3: Cross multiply
    976,743x = 1,471,769.73 × 803,138.76
  4. Step 4: Simplify right side
    976,743x = 1,182,035,315,957.73
  5. Step 5: Solve for x
    x = 1,182,035,315,957.73/976,743
  6. Step 6: Final answer
    x = 1,210,180.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.