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Finding the Fourth Proportional to 193,627.20, 290,440.80 and 144,475.20

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Solution

The fourth proportional to 193,627.20, 290,440.80 and 144,475.20 is: 216,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,627.20 : 290,440.80 = 144,475.20 : x
  2. Step 2: Convert to fraction form
    193,627.20/290,440.80 = 144,475.20/x
  3. Step 3: Cross multiply
    193,627.20x = 290,440.80 × 144,475.20
  4. Step 4: Simplify right side
    193,627.20x = 41,961,492,668.16
  5. Step 5: Solve for x
    x = 41,961,492,668.16/193,627.20
  6. Step 6: Final answer
    x = 216,712.80

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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.