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Finding the Fourth Proportional to 459,469.44, 689,113.29 and 436,684.23

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Solution

The fourth proportional to 459,469.44, 689,113.29 and 436,684.23 is: 654,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,469.44 : 689,113.29 = 436,684.23 : x
  2. Step 2: Convert to fraction form
    459,469.44/689,113.29 = 436,684.23/x
  3. Step 3: Cross multiply
    459,469.44x = 689,113.29 × 436,684.23
  4. Step 4: Simplify right side
    459,469.44x = 300,924,906,426.42
  5. Step 5: Solve for x
    x = 300,924,906,426.42/459,469.44
  6. Step 6: Final answer
    x = 654,939.98

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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.