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Finding the Fourth Proportional to 470,874.40, 705,697.20 and 218,125.60

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Solution

The fourth proportional to 470,874.40, 705,697.20 and 218,125.60 is: 326,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,874.40 : 705,697.20 = 218,125.60 : x
  2. Step 2: Convert to fraction form
    470,874.40/705,697.20 = 218,125.60/x
  3. Step 3: Cross multiply
    470,874.40x = 705,697.20 × 218,125.60
  4. Step 4: Simplify right side
    470,874.40x = 153,930,625,168.32
  5. Step 5: Solve for x
    x = 153,930,625,168.32/470,874.40
  6. Step 6: Final answer
    x = 326,903.79

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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.