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Finding the Fourth Proportional to 310,911.63, 466,367.67 and 86,272.29

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Solution

The fourth proportional to 310,911.63, 466,367.67 and 86,272.29 is: 129,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,911.63 : 466,367.67 = 86,272.29 : x
  2. Step 2: Convert to fraction form
    310,911.63/466,367.67 = 86,272.29/x
  3. Step 3: Cross multiply
    310,911.63x = 466,367.67 × 86,272.29
  4. Step 4: Simplify right side
    310,911.63x = 40,234,606,872.86
  5. Step 5: Solve for x
    x = 40,234,606,872.86/310,911.63
  6. Step 6: Final answer
    x = 129,408.50

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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.