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Finding the Fourth Proportional to 564,964.80, 779,657.05 and 306,846.78

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Solution

The fourth proportional to 564,964.80, 779,657.05 and 306,846.78 is: 423,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,964.80 : 779,657.05 = 306,846.78 : x
  2. Step 2: Convert to fraction form
    564,964.80/779,657.05 = 306,846.78/x
  3. Step 3: Cross multiply
    564,964.80x = 779,657.05 × 306,846.78
  4. Step 4: Simplify right side
    564,964.80x = 239,235,255,711.71
  5. Step 5: Solve for x
    x = 239,235,255,711.71/564,964.80
  6. Step 6: Final answer
    x = 423,451.61

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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.