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Finding the Fourth Proportional to 647,960.80, 972,232.80 and 227,538.40

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Solution

The fourth proportional to 647,960.80, 972,232.80 and 227,538.40 is: 341,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,960.80 : 972,232.80 = 227,538.40 : x
  2. Step 2: Convert to fraction form
    647,960.80/972,232.80 = 227,538.40/x
  3. Step 3: Cross multiply
    647,960.80x = 972,232.80 × 227,538.40
  4. Step 4: Simplify right side
    647,960.80x = 221,220,295,739.52
  5. Step 5: Solve for x
    x = 221,220,295,739.52/647,960.80
  6. Step 6: Final answer
    x = 341,410.00

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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.