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Finding the Fourth Proportional to 471,521.80, 706,821.90 and 421,755.40

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Solution

The fourth proportional to 471,521.80, 706,821.90 and 421,755.40 is: 632,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,521.80 : 706,821.90 = 421,755.40 : x
  2. Step 2: Convert to fraction form
    471,521.80/706,821.90 = 421,755.40/x
  3. Step 3: Cross multiply
    471,521.80x = 706,821.90 × 421,755.40
  4. Step 4: Simplify right side
    471,521.80x = 298,105,953,163.26
  5. Step 5: Solve for x
    x = 298,105,953,163.26/471,521.80
  6. Step 6: Final answer
    x = 632,220.93

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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.