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Finding the Fourth Proportional to 310,900.85, 466,324.48 and 189,289.87

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Solution

The fourth proportional to 310,900.85, 466,324.48 and 189,289.87 is: 283,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,900.85 : 466,324.48 = 189,289.87 : x
  2. Step 2: Convert to fraction form
    310,900.85/466,324.48 = 189,289.87/x
  3. Step 3: Cross multiply
    310,900.85x = 466,324.48 × 189,289.87
  4. Step 4: Simplify right side
    310,900.85x = 88,270,500,142.18
  5. Step 5: Solve for x
    x = 88,270,500,142.18/310,900.85
  6. Step 6: Final answer
    x = 283,918.49

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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.