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Finding the Fourth Proportional to 453,692.10, 680,641.42 and 138,173.60

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Solution

The fourth proportional to 453,692.10, 680,641.42 and 138,173.60 is: 207,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,692.10 : 680,641.42 = 138,173.60 : x
  2. Step 2: Convert to fraction form
    453,692.10/680,641.42 = 138,173.60/x
  3. Step 3: Cross multiply
    453,692.10x = 680,641.42 × 138,173.60
  4. Step 4: Simplify right side
    453,692.10x = 94,046,675,310.51
  5. Step 5: Solve for x
    x = 94,046,675,310.51/453,692.10
  6. Step 6: Final answer
    x = 207,291.85

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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.