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Finding the Fourth Proportional to 307,562.56, 424,478.72 and 180,288.96

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Solution

The fourth proportional to 307,562.56, 424,478.72 and 180,288.96 is: 248,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,562.56 : 424,478.72 = 180,288.96 : x
  2. Step 2: Convert to fraction form
    307,562.56/424,478.72 = 180,288.96/x
  3. Step 3: Cross multiply
    307,562.56x = 424,478.72 × 180,288.96
  4. Step 4: Simplify right side
    307,562.56x = 76,528,826,970.93
  5. Step 5: Solve for x
    x = 76,528,826,970.93/307,562.56
  6. Step 6: Final answer
    x = 248,823.61

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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.