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Finding the Fourth Proportional to 564,991.52, 779,498.20 and 319,942.76

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Solution

The fourth proportional to 564,991.52, 779,498.20 and 319,942.76 is: 441,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,991.52 : 779,498.20 = 319,942.76 : x
  2. Step 2: Convert to fraction form
    564,991.52/779,498.20 = 319,942.76/x
  3. Step 3: Cross multiply
    564,991.52x = 779,498.20 × 319,942.76
  4. Step 4: Simplify right side
    564,991.52x = 249,394,805,523.03
  5. Step 5: Solve for x
    x = 249,394,805,523.03/564,991.52
  6. Step 6: Final answer
    x = 441,413.36

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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.