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Finding the Fourth Proportional to 781,998, 1,173,008.52 and 191,022

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Solution

The fourth proportional to 781,998, 1,173,008.52 and 191,022 is: 286,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,998 : 1,173,008.52 = 191,022 : x
  2. Step 2: Convert to fraction form
    781,998/1,173,008.52 = 191,022/x
  3. Step 3: Cross multiply
    781,998x = 1,173,008.52 × 191,022
  4. Step 4: Simplify right side
    781,998x = 224,070,433,507.44
  5. Step 5: Solve for x
    x = 224,070,433,507.44/781,998
  6. Step 6: Final answer
    x = 286,535.81

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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.