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Finding the Fourth Proportional to 304,767.81, 420,578.40 and 175,705.38

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Solution

The fourth proportional to 304,767.81, 420,578.40 and 175,705.38 is: 242,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,767.81 : 420,578.40 = 175,705.38 : x
  2. Step 2: Convert to fraction form
    304,767.81/420,578.40 = 175,705.38/x
  3. Step 3: Cross multiply
    304,767.81x = 420,578.40 × 175,705.38
  4. Step 4: Simplify right side
    304,767.81x = 73,897,887,591.79
  5. Step 5: Solve for x
    x = 73,897,887,591.79/304,767.81
  6. Step 6: Final answer
    x = 242,472.75

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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.