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Finding the Fourth Proportional to 514,054.91, 771,266.84 and 229,721.64

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Solution

The fourth proportional to 514,054.91, 771,266.84 and 229,721.64 is: 344,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,054.91 : 771,266.84 = 229,721.64 : x
  2. Step 2: Convert to fraction form
    514,054.91/771,266.84 = 229,721.64/x
  3. Step 3: Cross multiply
    514,054.91x = 771,266.84 × 229,721.64
  4. Step 4: Simplify right side
    514,054.91x = 177,176,682,213.81
  5. Step 5: Solve for x
    x = 177,176,682,213.81/514,054.91
  6. Step 6: Final answer
    x = 344,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.