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Finding the Fourth Proportional to 676,467.84, 933,532.48 and 408,144

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Solution

The fourth proportional to 676,467.84, 933,532.48 and 408,144 is: 563,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,467.84 : 933,532.48 = 408,144 : x
  2. Step 2: Convert to fraction form
    676,467.84/933,532.48 = 408,144/x
  3. Step 3: Cross multiply
    676,467.84x = 933,532.48 × 408,144
  4. Step 4: Simplify right side
    676,467.84x = 381,015,680,517.12
  5. Step 5: Solve for x
    x = 381,015,680,517.12/676,467.84
  6. Step 6: Final answer
    x = 563,242.86

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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.