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Finding the Fourth Proportional to 318,867.98, 478,329.50 and 82,208.66

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Solution

The fourth proportional to 318,867.98, 478,329.50 and 82,208.66 is: 123,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,867.98 : 478,329.50 = 82,208.66 : x
  2. Step 2: Convert to fraction form
    318,867.98/478,329.50 = 82,208.66/x
  3. Step 3: Cross multiply
    318,867.98x = 478,329.50 × 82,208.66
  4. Step 4: Simplify right side
    318,867.98x = 39,322,824,430.78
  5. Step 5: Solve for x
    x = 39,322,824,430.78/318,867.98
  6. Step 6: Final answer
    x = 123,320.08

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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.