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Finding the Fourth Proportional to 490,238.96, 676,603.42 and 299,362.46

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Solution

The fourth proportional to 490,238.96, 676,603.42 and 299,362.46 is: 413,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,238.96 : 676,603.42 = 299,362.46 : x
  2. Step 2: Convert to fraction form
    490,238.96/676,603.42 = 299,362.46/x
  3. Step 3: Cross multiply
    490,238.96x = 676,603.42 × 299,362.46
  4. Step 4: Simplify right side
    490,238.96x = 202,549,664,255.61
  5. Step 5: Solve for x
    x = 202,549,664,255.61/490,238.96
  6. Step 6: Final answer
    x = 413,165.17

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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.