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Finding the Fourth Proportional to 307,061.11, 423,745.20 and 178,024.60

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Solution

The fourth proportional to 307,061.11, 423,745.20 and 178,024.60 is: 245,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,061.11 : 423,745.20 = 178,024.60 : x
  2. Step 2: Convert to fraction form
    307,061.11/423,745.20 = 178,024.60/x
  3. Step 3: Cross multiply
    307,061.11x = 423,745.20 × 178,024.60
  4. Step 4: Simplify right side
    307,061.11x = 75,437,069,731.92
  5. Step 5: Solve for x
    x = 75,437,069,731.92/307,061.11
  6. Step 6: Final answer
    x = 245,674.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.