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Finding the Fourth Proportional to 527,431.60, 791,730.60 and 327,977.20

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Solution

The fourth proportional to 527,431.60, 791,730.60 and 327,977.20 is: 492,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,431.60 : 791,730.60 = 327,977.20 : x
  2. Step 2: Convert to fraction form
    527,431.60/791,730.60 = 327,977.20/x
  3. Step 3: Cross multiply
    527,431.60x = 791,730.60 × 327,977.20
  4. Step 4: Simplify right side
    527,431.60x = 259,669,585,342.32
  5. Step 5: Solve for x
    x = 259,669,585,342.32/527,431.60
  6. Step 6: Final answer
    x = 492,328.46

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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.