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Finding the Fourth Proportional to 397,315.60, 595,973.40 and 219,731.20

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Solution

The fourth proportional to 397,315.60, 595,973.40 and 219,731.20 is: 329,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,315.60 : 595,973.40 = 219,731.20 : x
  2. Step 2: Convert to fraction form
    397,315.60/595,973.40 = 219,731.20/x
  3. Step 3: Cross multiply
    397,315.60x = 595,973.40 × 219,731.20
  4. Step 4: Simplify right side
    397,315.60x = 130,953,950,350.08
  5. Step 5: Solve for x
    x = 130,953,950,350.08/397,315.60
  6. Step 6: Final answer
    x = 329,596.80

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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.