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Finding the Fourth Proportional to 502,586.90, 693,731.41 and 321,785.72

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Solution

The fourth proportional to 502,586.90, 693,731.41 and 321,785.72 is: 444,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,586.90 : 693,731.41 = 321,785.72 : x
  2. Step 2: Convert to fraction form
    502,586.90/693,731.41 = 321,785.72/x
  3. Step 3: Cross multiply
    502,586.90x = 693,731.41 × 321,785.72
  4. Step 4: Simplify right side
    502,586.90x = 223,232,856,980.34
  5. Step 5: Solve for x
    x = 223,232,856,980.34/502,586.90
  6. Step 6: Final answer
    x = 444,167.68

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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.