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Finding the Fourth Proportional to 291,727.25, 402,034.01 and 211,017.90

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Solution

The fourth proportional to 291,727.25, 402,034.01 and 211,017.90 is: 290,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,727.25 : 402,034.01 = 211,017.90 : x
  2. Step 2: Convert to fraction form
    291,727.25/402,034.01 = 211,017.90/x
  3. Step 3: Cross multiply
    291,727.25x = 402,034.01 × 211,017.90
  4. Step 4: Simplify right side
    291,727.25x = 84,836,371,463.69
  5. Step 5: Solve for x
    x = 84,836,371,463.69/291,727.25
  6. Step 6: Final answer
    x = 290,807.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.