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Finding the Fourth Proportional to 470,521.80, 705,782.70 and 204,409.80

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Solution

The fourth proportional to 470,521.80, 705,782.70 and 204,409.80 is: 306,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,521.80 : 705,782.70 = 204,409.80 : x
  2. Step 2: Convert to fraction form
    470,521.80/705,782.70 = 204,409.80/x
  3. Step 3: Cross multiply
    470,521.80x = 705,782.70 × 204,409.80
  4. Step 4: Simplify right side
    470,521.80x = 144,268,900,550.46
  5. Step 5: Solve for x
    x = 144,268,900,550.46/470,521.80
  6. Step 6: Final answer
    x = 306,614.70

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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.