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Finding the Fourth Proportional to 497,378.40, 745,981.20 and 181,672.80

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Solution

The fourth proportional to 497,378.40, 745,981.20 and 181,672.80 is: 272,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,378.40 : 745,981.20 = 181,672.80 : x
  2. Step 2: Convert to fraction form
    497,378.40/745,981.20 = 181,672.80/x
  3. Step 3: Cross multiply
    497,378.40x = 745,981.20 × 181,672.80
  4. Step 4: Simplify right side
    497,378.40x = 135,524,493,351.36
  5. Step 5: Solve for x
    x = 135,524,493,351.36/497,378.40
  6. Step 6: Final answer
    x = 272,477.64

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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.