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Finding the Fourth Proportional to 426,257.64, 639,668.82 and 234,266.13

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Solution

The fourth proportional to 426,257.64, 639,668.82 and 234,266.13 is: 351,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,257.64 : 639,668.82 = 234,266.13 : x
  2. Step 2: Convert to fraction form
    426,257.64/639,668.82 = 234,266.13/x
  3. Step 3: Cross multiply
    426,257.64x = 639,668.82 × 234,266.13
  4. Step 4: Simplify right side
    426,257.64x = 149,852,738,943.07
  5. Step 5: Solve for x
    x = 149,852,738,943.07/426,257.64
  6. Step 6: Final answer
    x = 351,554.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.