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Finding the Fourth Proportional to 289,879.40, 435,035.10 and 149,565.80

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Solution

The fourth proportional to 289,879.40, 435,035.10 and 149,565.80 is: 224,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,879.40 : 435,035.10 = 149,565.80 : x
  2. Step 2: Convert to fraction form
    289,879.40/435,035.10 = 149,565.80/x
  3. Step 3: Cross multiply
    289,879.40x = 435,035.10 × 149,565.80
  4. Step 4: Simplify right side
    289,879.40x = 65,066,372,759.58
  5. Step 5: Solve for x
    x = 65,066,372,759.58/289,879.40
  6. Step 6: Final answer
    x = 224,460.15

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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.