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Finding the Fourth Proportional to 290,153.84, 435,180.60 and 76,923.16

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Solution

The fourth proportional to 290,153.84, 435,180.60 and 76,923.16 is: 115,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,153.84 : 435,180.60 = 76,923.16 : x
  2. Step 2: Convert to fraction form
    290,153.84/435,180.60 = 76,923.16/x
  3. Step 3: Cross multiply
    290,153.84x = 435,180.60 × 76,923.16
  4. Step 4: Simplify right side
    290,153.84x = 33,475,466,922.70
  5. Step 5: Solve for x
    x = 33,475,466,922.70/290,153.84
  6. Step 6: Final answer
    x = 115,371.44

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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.