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Finding the Fourth Proportional to 312,214.37, 468,321.58 and 75,557.07

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Solution

The fourth proportional to 312,214.37, 468,321.58 and 75,557.07 is: 113,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,214.37 : 468,321.58 = 75,557.07 : x
  2. Step 2: Convert to fraction form
    312,214.37/468,321.58 = 75,557.07/x
  3. Step 3: Cross multiply
    312,214.37x = 468,321.58 × 75,557.07
  4. Step 4: Simplify right side
    312,214.37x = 35,385,006,024.79
  5. Step 5: Solve for x
    x = 35,385,006,024.79/312,214.37
  6. Step 6: Final answer
    x = 113,335.61

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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.