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Finding the Fourth Proportional to 564,034.50, 778,365.39 and 305,910.42

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Solution

The fourth proportional to 564,034.50, 778,365.39 and 305,910.42 is: 422,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,034.50 : 778,365.39 = 305,910.42 : x
  2. Step 2: Convert to fraction form
    564,034.50/778,365.39 = 305,910.42/x
  3. Step 3: Cross multiply
    564,034.50x = 778,365.39 × 305,910.42
  4. Step 4: Simplify right side
    564,034.50x = 238,110,083,368.36
  5. Step 5: Solve for x
    x = 238,110,083,368.36/564,034.50
  6. Step 6: Final answer
    x = 422,155.18

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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.