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Finding the Fourth Proportional to 471,000.30, 706,610.70 and 155,456.91

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Solution

The fourth proportional to 471,000.30, 706,610.70 and 155,456.91 is: 233,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,000.30 : 706,610.70 = 155,456.91 : x
  2. Step 2: Convert to fraction form
    471,000.30/706,610.70 = 155,456.91/x
  3. Step 3: Cross multiply
    471,000.30x = 706,610.70 × 155,456.91
  4. Step 4: Simplify right side
    471,000.30x = 109,847,515,994.94
  5. Step 5: Solve for x
    x = 109,847,515,994.94/471,000.30
  6. Step 6: Final answer
    x = 233,221.75

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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.