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Finding the Fourth Proportional to 420,434.73, 580,218.80 and 236,736.47

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Solution

The fourth proportional to 420,434.73, 580,218.80 and 236,736.47 is: 326,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,434.73 : 580,218.80 = 236,736.47 : x
  2. Step 2: Convert to fraction form
    420,434.73/580,218.80 = 236,736.47/x
  3. Step 3: Cross multiply
    420,434.73x = 580,218.80 × 236,736.47
  4. Step 4: Simplify right side
    420,434.73x = 137,358,952,782.17
  5. Step 5: Solve for x
    x = 137,358,952,782.17/420,434.73
  6. Step 6: Final answer
    x = 326,706.96

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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.