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Finding the Fourth Proportional to 418,435.46, 627,647.70 and 102,895.10

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Solution

The fourth proportional to 418,435.46, 627,647.70 and 102,895.10 is: 154,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,435.46 : 627,647.70 = 102,895.10 : x
  2. Step 2: Convert to fraction form
    418,435.46/627,647.70 = 102,895.10/x
  3. Step 3: Cross multiply
    418,435.46x = 627,647.70 × 102,895.10
  4. Step 4: Simplify right side
    418,435.46x = 64,581,872,856.27
  5. Step 5: Solve for x
    x = 64,581,872,856.27/418,435.46
  6. Step 6: Final answer
    x = 154,341.30

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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.