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Finding the Fourth Proportional to 564,855.48, 779,514.12 and 310,212.18

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Solution

The fourth proportional to 564,855.48, 779,514.12 and 310,212.18 is: 428,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,855.48 : 779,514.12 = 310,212.18 : x
  2. Step 2: Convert to fraction form
    564,855.48/779,514.12 = 310,212.18/x
  3. Step 3: Cross multiply
    564,855.48x = 779,514.12 × 310,212.18
  4. Step 4: Simplify right side
    564,855.48x = 241,814,774,505.98
  5. Step 5: Solve for x
    x = 241,814,774,505.98/564,855.48
  6. Step 6: Final answer
    x = 428,100.25

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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.