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Finding the Fourth Proportional to 564,769.87, 779,378.91 and 323,056.48

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Solution

The fourth proportional to 564,769.87, 779,378.91 and 323,056.48 is: 445,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,769.87 : 779,378.91 = 323,056.48 : x
  2. Step 2: Convert to fraction form
    564,769.87/779,378.91 = 323,056.48/x
  3. Step 3: Cross multiply
    564,769.87x = 779,378.91 × 323,056.48
  4. Step 4: Simplify right side
    564,769.87x = 251,783,405,302.39
  5. Step 5: Solve for x
    x = 251,783,405,302.39/564,769.87
  6. Step 6: Final answer
    x = 445,815.93

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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.