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Finding the Fourth Proportional to 304,969.14, 420,808.42 and 191,711.70

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Solution

The fourth proportional to 304,969.14, 420,808.42 and 191,711.70 is: 264,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,969.14 : 420,808.42 = 191,711.70 : x
  2. Step 2: Convert to fraction form
    304,969.14/420,808.42 = 191,711.70/x
  3. Step 3: Cross multiply
    304,969.14x = 420,808.42 × 191,711.70
  4. Step 4: Simplify right side
    304,969.14x = 80,673,897,572.51
  5. Step 5: Solve for x
    x = 80,673,897,572.51/304,969.14
  6. Step 6: Final answer
    x = 264,531.35

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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.