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Finding the Fourth Proportional to 396,641.63, 595,036.26 and 130,412.66

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Solution

The fourth proportional to 396,641.63, 595,036.26 and 130,412.66 is: 195,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,641.63 : 595,036.26 = 130,412.66 : x
  2. Step 2: Convert to fraction form
    396,641.63/595,036.26 = 130,412.66/x
  3. Step 3: Cross multiply
    396,641.63x = 595,036.26 × 130,412.66
  4. Step 4: Simplify right side
    396,641.63x = 77,600,258,487.87
  5. Step 5: Solve for x
    x = 77,600,258,487.87/396,641.63
  6. Step 6: Final answer
    x = 195,643.25

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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.