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Finding the Fourth Proportional to 422,872.95, 634,151.33 and 170,068.01

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Solution

The fourth proportional to 422,872.95, 634,151.33 and 170,068.01 is: 255,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,872.95 : 634,151.33 = 170,068.01 : x
  2. Step 2: Convert to fraction form
    422,872.95/634,151.33 = 170,068.01/x
  3. Step 3: Cross multiply
    422,872.95x = 634,151.33 × 170,068.01
  4. Step 4: Simplify right side
    422,872.95x = 107,848,851,348.61
  5. Step 5: Solve for x
    x = 107,848,851,348.61/422,872.95
  6. Step 6: Final answer
    x = 255,038.42

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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.