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Finding the Fourth Proportional to 347,643.20, 520,543.20 and 273,915.20

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Solution

The fourth proportional to 347,643.20, 520,543.20 and 273,915.20 is: 410,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,643.20 : 520,543.20 = 273,915.20 : x
  2. Step 2: Convert to fraction form
    347,643.20/520,543.20 = 273,915.20/x
  3. Step 3: Cross multiply
    347,643.20x = 520,543.20 × 273,915.20
  4. Step 4: Simplify right side
    347,643.20x = 142,584,694,736.64
  5. Step 5: Solve for x
    x = 142,584,694,736.64/347,643.20
  6. Step 6: Final answer
    x = 410,146.65

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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.