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Finding the Fourth Proportional to 341,909.84, 512,812.92 and 120,242

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Solution

The fourth proportional to 341,909.84, 512,812.92 and 120,242 is: 180,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,909.84 : 512,812.92 = 120,242 : x
  2. Step 2: Convert to fraction form
    341,909.84/512,812.92 = 120,242/x
  3. Step 3: Cross multiply
    341,909.84x = 512,812.92 × 120,242
  4. Step 4: Simplify right side
    341,909.84x = 61,661,651,126.64
  5. Step 5: Solve for x
    x = 61,661,651,126.64/341,909.84
  6. Step 6: Final answer
    x = 180,344.77

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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.