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Finding the Fourth Proportional to 509,302.88, 702,796.82 and 294,456.79

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Solution

The fourth proportional to 509,302.88, 702,796.82 and 294,456.79 is: 406,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302.88 : 702,796.82 = 294,456.79 : x
  2. Step 2: Convert to fraction form
    509,302.88/702,796.82 = 294,456.79/x
  3. Step 3: Cross multiply
    509,302.88x = 702,796.82 × 294,456.79
  4. Step 4: Simplify right side
    509,302.88x = 206,943,290,653.14
  5. Step 5: Solve for x
    x = 206,943,290,653.14/509,302.88
  6. Step 6: Final answer
    x = 406,326.57

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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.