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Finding the Fourth Proportional to 471,506.80, 706,799.40 and 421,740.40

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Solution

The fourth proportional to 471,506.80, 706,799.40 and 421,740.40 is: 632,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,506.80 : 706,799.40 = 421,740.40 : x
  2. Step 2: Convert to fraction form
    471,506.80/706,799.40 = 421,740.40/x
  3. Step 3: Cross multiply
    471,506.80x = 706,799.40 × 421,740.40
  4. Step 4: Simplify right side
    471,506.80x = 298,085,861,675.76
  5. Step 5: Solve for x
    x = 298,085,861,675.76/471,506.80
  6. Step 6: Final answer
    x = 632,198.44

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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.