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Finding the Fourth Proportional to 470,077.20, 705,115.80 and 154,544.40

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Solution

The fourth proportional to 470,077.20, 705,115.80 and 154,544.40 is: 231,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,077.20 : 705,115.80 = 154,544.40 : x
  2. Step 2: Convert to fraction form
    470,077.20/705,115.80 = 154,544.40/x
  3. Step 3: Cross multiply
    470,077.20x = 705,115.80 × 154,544.40
  4. Step 4: Simplify right side
    470,077.20x = 108,971,698,241.52
  5. Step 5: Solve for x
    x = 108,971,698,241.52/470,077.20
  6. Step 6: Final answer
    x = 231,816.60

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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.