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Finding the Fourth Proportional to 470,201.60, 705,230.40 and 154,659.20

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Solution

The fourth proportional to 470,201.60, 705,230.40 and 154,659.20 is: 231,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,201.60 : 705,230.40 = 154,659.20 : x
  2. Step 2: Convert to fraction form
    470,201.60/705,230.40 = 154,659.20/x
  3. Step 3: Cross multiply
    470,201.60x = 705,230.40 × 154,659.20
  4. Step 4: Simplify right side
    470,201.60x = 109,070,369,479.68
  5. Step 5: Solve for x
    x = 109,070,369,479.68/470,201.60
  6. Step 6: Final answer
    x = 231,965.12

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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.