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Finding the Fourth Proportional to 418,677.86, 627,763.95 and 187,824.58

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Solution

The fourth proportional to 418,677.86, 627,763.95 and 187,824.58 is: 281,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,677.86 : 627,763.95 = 187,824.58 : x
  2. Step 2: Convert to fraction form
    418,677.86/627,763.95 = 187,824.58/x
  3. Step 3: Cross multiply
    418,677.86x = 627,763.95 × 187,824.58
  4. Step 4: Simplify right side
    418,677.86x = 117,909,499,915.81
  5. Step 5: Solve for x
    x = 117,909,499,915.81/418,677.86
  6. Step 6: Final answer
    x = 281,623.44

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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.