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Finding the Fourth Proportional to 499,289.16, 689,019 and 269,845.80

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Solution

The fourth proportional to 499,289.16, 689,019 and 269,845.80 is: 372,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,289.16 : 689,019 = 269,845.80 : x
  2. Step 2: Convert to fraction form
    499,289.16/689,019 = 269,845.80/x
  3. Step 3: Cross multiply
    499,289.16x = 689,019 × 269,845.80
  4. Step 4: Simplify right side
    499,289.16x = 185,928,883,270.20
  5. Step 5: Solve for x
    x = 185,928,883,270.20/499,289.16
  6. Step 6: Final answer
    x = 372,387.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.