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Finding the Fourth Proportional to 409,802.12, 565,582.39 and 240,103.88

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Solution

The fourth proportional to 409,802.12, 565,582.39 and 240,103.88 is: 331,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,802.12 : 565,582.39 = 240,103.88 : x
  2. Step 2: Convert to fraction form
    409,802.12/565,582.39 = 240,103.88/x
  3. Step 3: Cross multiply
    409,802.12x = 565,582.39 × 240,103.88
  4. Step 4: Simplify right side
    409,802.12x = 135,798,522,870.50
  5. Step 5: Solve for x
    x = 135,798,522,870.50/409,802.12
  6. Step 6: Final answer
    x = 331,375.85

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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.