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Finding the Fourth Proportional to 564,563.36, 779,077.27 and 319,542.86

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Solution

The fourth proportional to 564,563.36, 779,077.27 and 319,542.86 is: 440,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,563.36 : 779,077.27 = 319,542.86 : x
  2. Step 2: Convert to fraction form
    564,563.36/779,077.27 = 319,542.86/x
  3. Step 3: Cross multiply
    564,563.36x = 779,077.27 × 319,542.86
  4. Step 4: Simplify right side
    564,563.36x = 248,948,575,121.41
  5. Step 5: Solve for x
    x = 248,948,575,121.41/564,563.36
  6. Step 6: Final answer
    x = 440,957.73

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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.