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Finding the Fourth Proportional to 397,205.60, 595,808.40 and 219,621.20

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Solution

The fourth proportional to 397,205.60, 595,808.40 and 219,621.20 is: 329,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,205.60 : 595,808.40 = 219,621.20 : x
  2. Step 2: Convert to fraction form
    397,205.60/595,808.40 = 219,621.20/x
  3. Step 3: Cross multiply
    397,205.60x = 595,808.40 × 219,621.20
  4. Step 4: Simplify right side
    397,205.60x = 130,852,155,778.08
  5. Step 5: Solve for x
    x = 130,852,155,778.08/397,205.60
  6. Step 6: Final answer
    x = 329,431.80

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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.