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Finding the Fourth Proportional to 418,211.78, 627,314.91 and 118,692.54

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Solution

The fourth proportional to 418,211.78, 627,314.91 and 118,692.54 is: 178,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,211.78 : 627,314.91 = 118,692.54 : x
  2. Step 2: Convert to fraction form
    418,211.78/627,314.91 = 118,692.54/x
  3. Step 3: Cross multiply
    418,211.78x = 627,314.91 × 118,692.54
  4. Step 4: Simplify right side
    418,211.78x = 74,457,600,047.77
  5. Step 5: Solve for x
    x = 74,457,600,047.77/418,211.78
  6. Step 6: Final answer
    x = 178,038.03

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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.