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Finding the Fourth Proportional to 459,148.80, 688,723.20 and 192,820.80

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Solution

The fourth proportional to 459,148.80, 688,723.20 and 192,820.80 is: 289,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,148.80 : 688,723.20 = 192,820.80 : x
  2. Step 2: Convert to fraction form
    459,148.80/688,723.20 = 192,820.80/x
  3. Step 3: Cross multiply
    459,148.80x = 688,723.20 × 192,820.80
  4. Step 4: Simplify right side
    459,148.80x = 132,800,158,402.56
  5. Step 5: Solve for x
    x = 132,800,158,402.56/459,148.80
  6. Step 6: Final answer
    x = 289,231.20

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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.