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Finding the Fourth Proportional to 564,305.66, 778,740.70 and 306,182.52

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Solution

The fourth proportional to 564,305.66, 778,740.70 and 306,182.52 is: 422,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,305.66 : 778,740.70 = 306,182.52 : x
  2. Step 2: Convert to fraction form
    564,305.66/778,740.70 = 306,182.52/x
  3. Step 3: Cross multiply
    564,305.66x = 778,740.70 × 306,182.52
  4. Step 4: Simplify right side
    564,305.66x = 238,436,789,952.56
  5. Step 5: Solve for x
    x = 238,436,789,952.56/564,305.66
  6. Step 6: Final answer
    x = 422,531.27

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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.