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Finding the Fourth Proportional to 564,304.17, 778,729.44 and 319,286.31

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Solution

The fourth proportional to 564,304.17, 778,729.44 and 319,286.31 is: 440,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,304.17 : 778,729.44 = 319,286.31 : x
  2. Step 2: Convert to fraction form
    564,304.17/778,729.44 = 319,286.31/x
  3. Step 3: Cross multiply
    564,304.17x = 778,729.44 × 319,286.31
  4. Step 4: Simplify right side
    564,304.17x = 248,637,649,385.97
  5. Step 5: Solve for x
    x = 248,637,649,385.97/564,304.17
  6. Step 6: Final answer
    x = 440,609.27

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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.