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Finding the Fourth Proportional to 520,846.32, 781,308.36 and 221,293.20

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Solution

The fourth proportional to 520,846.32, 781,308.36 and 221,293.20 is: 331,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,846.32 : 781,308.36 = 221,293.20 : x
  2. Step 2: Convert to fraction form
    520,846.32/781,308.36 = 221,293.20/x
  3. Step 3: Cross multiply
    520,846.32x = 781,308.36 × 221,293.20
  4. Step 4: Simplify right side
    520,846.32x = 172,898,227,171.15
  5. Step 5: Solve for x
    x = 172,898,227,171.15/520,846.32
  6. Step 6: Final answer
    x = 331,956.32

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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.