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Finding the Fourth Proportional to 459,412.40, 689,194.20 and 143,793.20

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Solution

The fourth proportional to 459,412.40, 689,194.20 and 143,793.20 is: 215,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,412.40 : 689,194.20 = 143,793.20 : x
  2. Step 2: Convert to fraction form
    459,412.40/689,194.20 = 143,793.20/x
  3. Step 3: Cross multiply
    459,412.40x = 689,194.20 × 143,793.20
  4. Step 4: Simplify right side
    459,412.40x = 99,101,439,439.44
  5. Step 5: Solve for x
    x = 99,101,439,439.44/459,412.40
  6. Step 6: Final answer
    x = 215,713.46

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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.