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Finding the Fourth Proportional to 418,492.89, 627,820.16 and 178,603.29

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Solution

The fourth proportional to 418,492.89, 627,820.16 and 178,603.29 is: 267,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,492.89 : 627,820.16 = 178,603.29 : x
  2. Step 2: Convert to fraction form
    418,492.89/627,820.16 = 178,603.29/x
  3. Step 3: Cross multiply
    418,492.89x = 627,820.16 × 178,603.29
  4. Step 4: Simplify right side
    418,492.89x = 112,130,745,211.31
  5. Step 5: Solve for x
    x = 112,130,745,211.31/418,492.89
  6. Step 6: Final answer
    x = 267,939.43

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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.