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Finding the Fourth Proportional to 347,981.88, 480,206.82 and 204,751.20

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Solution

The fourth proportional to 347,981.88, 480,206.82 and 204,751.20 is: 282,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,981.88 : 480,206.82 = 204,751.20 : x
  2. Step 2: Convert to fraction form
    347,981.88/480,206.82 = 204,751.20/x
  3. Step 3: Cross multiply
    347,981.88x = 480,206.82 × 204,751.20
  4. Step 4: Simplify right side
    347,981.88x = 98,322,920,242.15
  5. Step 5: Solve for x
    x = 98,322,920,242.15/347,981.88
  6. Step 6: Final answer
    x = 282,551.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.