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Finding the Fourth Proportional to 409,246.40, 613,953.28 and 172,589.28

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Solution

The fourth proportional to 409,246.40, 613,953.28 and 172,589.28 is: 258,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,246.40 : 613,953.28 = 172,589.28 : x
  2. Step 2: Convert to fraction form
    409,246.40/613,953.28 = 172,589.28/x
  3. Step 3: Cross multiply
    409,246.40x = 613,953.28 × 172,589.28
  4. Step 4: Simplify right side
    409,246.40x = 105,961,754,548.84
  5. Step 5: Solve for x
    x = 105,961,754,548.84/409,246.40
  6. Step 6: Final answer
    x = 258,919.21

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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.