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Finding the Fourth Proportional to 418,941.10, 627,912.28 and 291,893.41

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Solution

The fourth proportional to 418,941.10, 627,912.28 and 291,893.41 is: 437,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,941.10 : 627,912.28 = 291,893.41 : x
  2. Step 2: Convert to fraction form
    418,941.10/627,912.28 = 291,893.41/x
  3. Step 3: Cross multiply
    418,941.10x = 627,912.28 × 291,893.41
  4. Step 4: Simplify right side
    418,941.10x = 183,283,453,386.88
  5. Step 5: Solve for x
    x = 183,283,453,386.88/418,941.10
  6. Step 6: Final answer
    x = 437,492.18

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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.