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Finding the Fourth Proportional to 365,643.12, 548,207.04 and 140,815.20

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Solution

The fourth proportional to 365,643.12, 548,207.04 and 140,815.20 is: 211,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,643.12 : 548,207.04 = 140,815.20 : x
  2. Step 2: Convert to fraction form
    365,643.12/548,207.04 = 140,815.20/x
  3. Step 3: Cross multiply
    365,643.12x = 548,207.04 × 140,815.20
  4. Step 4: Simplify right side
    365,643.12x = 77,195,883,979.01
  5. Step 5: Solve for x
    x = 77,195,883,979.01/365,643.12
  6. Step 6: Final answer
    x = 211,123.58

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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.