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Finding the Fourth Proportional to 312,518.88, 468,811.26 and 102,156.48

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Solution

The fourth proportional to 312,518.88, 468,811.26 and 102,156.48 is: 153,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,518.88 : 468,811.26 = 102,156.48 : x
  2. Step 2: Convert to fraction form
    312,518.88/468,811.26 = 102,156.48/x
  3. Step 3: Cross multiply
    312,518.88x = 468,811.26 × 102,156.48
  4. Step 4: Simplify right side
    312,518.88x = 47,892,108,105.96
  5. Step 5: Solve for x
    x = 47,892,108,105.96/312,518.88
  6. Step 6: Final answer
    x = 153,245.49

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1.5x scale

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.