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Finding the Fourth Proportional to 304,814.72, 420,659.40 and 183,954.08

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Solution

The fourth proportional to 304,814.72, 420,659.40 and 183,954.08 is: 253,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,814.72 : 420,659.40 = 183,954.08 : x
  2. Step 2: Convert to fraction form
    304,814.72/420,659.40 = 183,954.08/x
  3. Step 3: Cross multiply
    304,814.72x = 420,659.40 × 183,954.08
  4. Step 4: Simplify right side
    304,814.72x = 77,382,012,920.35
  5. Step 5: Solve for x
    x = 77,382,012,920.35/304,814.72
  6. Step 6: Final answer
    x = 253,865.73

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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.