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Finding the Fourth Proportional to 564,823.91, 779,428.92 and 319,770.56

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Solution

The fourth proportional to 564,823.91, 779,428.92 and 319,770.56 is: 441,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,823.91 : 779,428.92 = 319,770.56 : x
  2. Step 2: Convert to fraction form
    564,823.91/779,428.92 = 319,770.56/x
  3. Step 3: Cross multiply
    564,823.91x = 779,428.92 × 319,770.56
  4. Step 4: Simplify right side
    564,823.91x = 249,238,419,530.59
  5. Step 5: Solve for x
    x = 249,238,419,530.59/564,823.91
  6. Step 6: Final answer
    x = 441,267.48

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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.