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Finding the Fourth Proportional to 780,900.92, 1,171,642.96 and 307,916

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Solution

The fourth proportional to 780,900.92, 1,171,642.96 and 307,916 is: 461,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,900.92 : 1,171,642.96 = 307,916 : x
  2. Step 2: Convert to fraction form
    780,900.92/1,171,642.96 = 307,916/x
  3. Step 3: Cross multiply
    780,900.92x = 1,171,642.96 × 307,916
  4. Step 4: Simplify right side
    780,900.92x = 360,767,613,671.36
  5. Step 5: Solve for x
    x = 360,767,613,671.36/780,900.92
  6. Step 6: Final answer
    x = 461,988.97

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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.