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Finding the Fourth Proportional to 471,503.80, 706,794.90 and 421,737.40

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Solution

The fourth proportional to 471,503.80, 706,794.90 and 421,737.40 is: 632,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,503.80 : 706,794.90 = 421,737.40 : x
  2. Step 2: Convert to fraction form
    471,503.80/706,794.90 = 421,737.40/x
  3. Step 3: Cross multiply
    471,503.80x = 706,794.90 × 421,737.40
  4. Step 4: Simplify right side
    471,503.80x = 298,081,843,459.26
  5. Step 5: Solve for x
    x = 298,081,843,459.26/471,503.80
  6. Step 6: Final answer
    x = 632,193.94

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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.