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Finding the Fourth Proportional to 780,908.92, 1,171,654.96 and 307,924

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Solution

The fourth proportional to 780,908.92, 1,171,654.96 and 307,924 is: 462,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,908.92 : 1,171,654.96 = 307,924 : x
  2. Step 2: Convert to fraction form
    780,908.92/1,171,654.96 = 307,924/x
  3. Step 3: Cross multiply
    780,908.92x = 1,171,654.96 × 307,924
  4. Step 4: Simplify right side
    780,908.92x = 360,780,681,903.04
  5. Step 5: Solve for x
    x = 360,780,681,903.04/780,908.92
  6. Step 6: Final answer
    x = 462,000.97

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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.