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Finding the Fourth Proportional to 494,402.95, 682,257.13 and 279,547.51

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Solution

The fourth proportional to 494,402.95, 682,257.13 and 279,547.51 is: 385,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,402.95 : 682,257.13 = 279,547.51 : x
  2. Step 2: Convert to fraction form
    494,402.95/682,257.13 = 279,547.51/x
  3. Step 3: Cross multiply
    494,402.95x = 682,257.13 × 279,547.51
  4. Step 4: Simplify right side
    494,402.95x = 190,723,281,871.25
  5. Step 5: Solve for x
    x = 190,723,281,871.25/494,402.95
  6. Step 6: Final answer
    x = 385,764.85

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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.