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Finding the Fourth Proportional to 311,958.61, 467,970.72 and 101,612.95

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Solution

The fourth proportional to 311,958.61, 467,970.72 and 101,612.95 is: 152,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,958.61 : 467,970.72 = 101,612.95 : x
  2. Step 2: Convert to fraction form
    311,958.61/467,970.72 = 101,612.95/x
  3. Step 3: Cross multiply
    311,958.61x = 467,970.72 × 101,612.95
  4. Step 4: Simplify right side
    311,958.61x = 47,551,883,821.85
  5. Step 5: Solve for x
    x = 47,551,883,821.85/311,958.61
  6. Step 6: Final answer
    x = 152,430.11

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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.