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Finding the Fourth Proportional to 411,715.84, 568,308 and 242,000.32

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Solution

The fourth proportional to 411,715.84, 568,308 and 242,000.32 is: 334,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,715.84 : 568,308 = 242,000.32 : x
  2. Step 2: Convert to fraction form
    411,715.84/568,308 = 242,000.32/x
  3. Step 3: Cross multiply
    411,715.84x = 568,308 × 242,000.32
  4. Step 4: Simplify right side
    411,715.84x = 137,530,717,858.56
  5. Step 5: Solve for x
    x = 137,530,717,858.56/411,715.84
  6. Step 6: Final answer
    x = 334,042.81

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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.