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Finding the Fourth Proportional to 445,521.60, 668,311.52 and 129,952

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Solution

The fourth proportional to 445,521.60, 668,311.52 and 129,952 is: 194,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,521.60 : 668,311.52 = 129,952 : x
  2. Step 2: Convert to fraction form
    445,521.60/668,311.52 = 129,952/x
  3. Step 3: Cross multiply
    445,521.60x = 668,311.52 × 129,952
  4. Step 4: Simplify right side
    445,521.60x = 86,848,418,647.04
  5. Step 5: Solve for x
    x = 86,848,418,647.04/445,521.60
  6. Step 6: Final answer
    x = 194,936.49

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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.