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Finding the Fourth Proportional to 687,608.32, 948,915.84 and 385,824.64

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Solution

The fourth proportional to 687,608.32, 948,915.84 and 385,824.64 is: 532,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,608.32 : 948,915.84 = 385,824.64 : x
  2. Step 2: Convert to fraction form
    687,608.32/948,915.84 = 385,824.64/x
  3. Step 3: Cross multiply
    687,608.32x = 948,915.84 × 385,824.64
  4. Step 4: Simplify right side
    687,608.32x = 366,115,112,358.30
  5. Step 5: Solve for x
    x = 366,115,112,358.30/687,608.32
  6. Step 6: Final answer
    x = 532,447.18

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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.