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Finding the Fourth Proportional to 290,199.84, 435,212.28 and 103,200

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Solution

The fourth proportional to 290,199.84, 435,212.28 and 103,200 is: 154,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,199.84 : 435,212.28 = 103,200 : x
  2. Step 2: Convert to fraction form
    290,199.84/435,212.28 = 103,200/x
  3. Step 3: Cross multiply
    290,199.84x = 435,212.28 × 103,200
  4. Step 4: Simplify right side
    290,199.84x = 44,913,907,296
  5. Step 5: Solve for x
    x = 44,913,907,296/290,199.84
  6. Step 6: Final answer
    x = 154,768.89

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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.