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Finding the Fourth Proportional to 368,915.84, 508,902.72 and 321,084.80

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Solution

The fourth proportional to 368,915.84, 508,902.72 and 321,084.80 is: 442,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,915.84 : 508,902.72 = 321,084.80 : x
  2. Step 2: Convert to fraction form
    368,915.84/508,902.72 = 321,084.80/x
  3. Step 3: Cross multiply
    368,915.84x = 508,902.72 × 321,084.80
  4. Step 4: Simplify right side
    368,915.84x = 163,400,928,070.66
  5. Step 5: Solve for x
    x = 163,400,928,070.66/368,915.84
  6. Step 6: Final answer
    x = 442,921.96

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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.