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Finding the Fourth Proportional to 471,521.88, 707,269.86 and 205,281.90

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Solution

The fourth proportional to 471,521.88, 707,269.86 and 205,281.90 is: 307,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,521.88 : 707,269.86 = 205,281.90 : x
  2. Step 2: Convert to fraction form
    471,521.88/707,269.86 = 205,281.90/x
  3. Step 3: Cross multiply
    471,521.88x = 707,269.86 × 205,281.90
  4. Step 4: Simplify right side
    471,521.88x = 145,189,700,673.53
  5. Step 5: Solve for x
    x = 145,189,700,673.53/471,521.88
  6. Step 6: Final answer
    x = 307,917.21

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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.