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Finding the Fourth Proportional to 253,019.80, 349,428.78 and 218,864.33

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Solution

The fourth proportional to 253,019.80, 349,428.78 and 218,864.33 is: 302,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,019.80 : 349,428.78 = 218,864.33 : x
  2. Step 2: Convert to fraction form
    253,019.80/349,428.78 = 218,864.33/x
  3. Step 3: Cross multiply
    253,019.80x = 349,428.78 × 218,864.33
  4. Step 4: Simplify right side
    253,019.80x = 76,477,495,817.42
  5. Step 5: Solve for x
    x = 76,477,495,817.42/253,019.80
  6. Step 6: Final answer
    x = 302,258.94

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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.