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Finding the Fourth Proportional to 418,254.32, 627,380.18 and 118,735.10

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Solution

The fourth proportional to 418,254.32, 627,380.18 and 118,735.10 is: 178,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,254.32 : 627,380.18 = 118,735.10 : x
  2. Step 2: Convert to fraction form
    418,254.32/627,380.18 = 118,735.10/x
  3. Step 3: Cross multiply
    418,254.32x = 627,380.18 × 118,735.10
  4. Step 4: Simplify right side
    418,254.32x = 74,492,048,145.56
  5. Step 5: Solve for x
    x = 74,492,048,145.56/418,254.32
  6. Step 6: Final answer
    x = 178,102.28

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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.