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Finding the Fourth Proportional to 289,878.40, 435,033.60 and 149,564.80

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Solution

The fourth proportional to 289,878.40, 435,033.60 and 149,564.80 is: 224,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,878.40 : 435,033.60 = 149,564.80 : x
  2. Step 2: Convert to fraction form
    289,878.40/435,033.60 = 149,564.80/x
  3. Step 3: Cross multiply
    289,878.40x = 435,033.60 × 149,564.80
  4. Step 4: Simplify right side
    289,878.40x = 65,065,713,377.28
  5. Step 5: Solve for x
    x = 65,065,713,377.28/289,878.40
  6. Step 6: Final answer
    x = 224,458.65

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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.