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Finding the Fourth Proportional to 382,674.40, 574,011.60 and 242,591.20

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Solution

The fourth proportional to 382,674.40, 574,011.60 and 242,591.20 is: 363,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,674.40 : 574,011.60 = 242,591.20 : x
  2. Step 2: Convert to fraction form
    382,674.40/574,011.60 = 242,591.20/x
  3. Step 3: Cross multiply
    382,674.40x = 574,011.60 × 242,591.20
  4. Step 4: Simplify right side
    382,674.40x = 139,250,162,857.92
  5. Step 5: Solve for x
    x = 139,250,162,857.92/382,674.40
  6. Step 6: Final answer
    x = 363,886.80

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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.