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Finding the Fourth Proportional to 314,878.91, 434,593.55 and 218,344.73

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Solution

The fourth proportional to 314,878.91, 434,593.55 and 218,344.73 is: 301,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,878.91 : 434,593.55 = 218,344.73 : x
  2. Step 2: Convert to fraction form
    314,878.91/434,593.55 = 218,344.73/x
  3. Step 3: Cross multiply
    314,878.91x = 434,593.55 × 218,344.73
  4. Step 4: Simplify right side
    314,878.91x = 94,891,209,707.39
  5. Step 5: Solve for x
    x = 94,891,209,707.39/314,878.91
  6. Step 6: Final answer
    x = 301,357.79

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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.