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Finding the Fourth Proportional to 454,653.84, 682,008.10 and 139,113.48

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Solution

The fourth proportional to 454,653.84, 682,008.10 and 139,113.48 is: 208,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,653.84 : 682,008.10 = 139,113.48 : x
  2. Step 2: Convert to fraction form
    454,653.84/682,008.10 = 139,113.48/x
  3. Step 3: Cross multiply
    454,653.84x = 682,008.10 × 139,113.48
  4. Step 4: Simplify right side
    454,653.84x = 94,876,523,171.45
  5. Step 5: Solve for x
    x = 94,876,523,171.45/454,653.84
  6. Step 6: Final answer
    x = 208,678.59

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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.