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Finding the Fourth Proportional to 470,000.40, 705,000.60 and 154,489.20

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Solution

The fourth proportional to 470,000.40, 705,000.60 and 154,489.20 is: 231,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,000.40 : 705,000.60 = 154,489.20 : x
  2. Step 2: Convert to fraction form
    470,000.40/705,000.60 = 154,489.20/x
  3. Step 3: Cross multiply
    470,000.40x = 705,000.60 × 154,489.20
  4. Step 4: Simplify right side
    470,000.40x = 108,914,978,693.52
  5. Step 5: Solve for x
    x = 108,914,978,693.52/470,000.40
  6. Step 6: Final answer
    x = 231,733.80

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Similar ratio
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1.5x scale

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.