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Finding the Fourth Proportional to 471,521.20, 707,281.80 and 171,902.20

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Solution

The fourth proportional to 471,521.20, 707,281.80 and 171,902.20 is: 257,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,521.20 : 707,281.80 = 171,902.20 : x
  2. Step 2: Convert to fraction form
    471,521.20/707,281.80 = 171,902.20/x
  3. Step 3: Cross multiply
    471,521.20x = 707,281.80 × 171,902.20
  4. Step 4: Simplify right side
    471,521.20x = 121,583,297,439.96
  5. Step 5: Solve for x
    x = 121,583,297,439.96/471,521.20
  6. Step 6: Final answer
    x = 257,853.30

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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.