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Finding the Fourth Proportional to 397,314.60, 595,971.90 and 219,730.20

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Solution

The fourth proportional to 397,314.60, 595,971.90 and 219,730.20 is: 329,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,314.60 : 595,971.90 = 219,730.20 : x
  2. Step 2: Convert to fraction form
    397,314.60/595,971.90 = 219,730.20/x
  3. Step 3: Cross multiply
    397,314.60x = 595,971.90 × 219,730.20
  4. Step 4: Simplify right side
    397,314.60x = 130,953,024,781.38
  5. Step 5: Solve for x
    x = 130,953,024,781.38/397,314.60
  6. Step 6: Final answer
    x = 329,595.30

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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.