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Finding the Fourth Proportional to 497,370.40, 745,969.20 and 181,664.80

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Solution

The fourth proportional to 497,370.40, 745,969.20 and 181,664.80 is: 272,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,370.40 : 745,969.20 = 181,664.80 : x
  2. Step 2: Convert to fraction form
    497,370.40/745,969.20 = 181,664.80/x
  3. Step 3: Cross multiply
    497,370.40x = 745,969.20 × 181,664.80
  4. Step 4: Simplify right side
    497,370.40x = 135,516,345,524.16
  5. Step 5: Solve for x
    x = 135,516,345,524.16/497,370.40
  6. Step 6: Final answer
    x = 272,465.64

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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.