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Finding the Fourth Proportional to 291,812.20, 409,643 and 291,812.20

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Solution

The fourth proportional to 291,812.20, 409,643 and 291,812.20 is: 409,643

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,812.20 : 409,643 = 291,812.20 : x
  2. Step 2: Convert to fraction form
    291,812.20/409,643 = 291,812.20/x
  3. Step 3: Cross multiply
    291,812.20x = 409,643 × 291,812.20
  4. Step 4: Simplify right side
    291,812.20x = 119,538,825,044.60
  5. Step 5: Solve for x
    x = 119,538,825,044.60/291,812.20
  6. Step 6: Final answer
    x = 409,643

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.