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Finding the Fourth Proportional to 312,083.30, 467,510.55 and 289,964.90

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Solution

The fourth proportional to 312,083.30, 467,510.55 and 289,964.90 is: 434,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,083.30 : 467,510.55 = 289,964.90 : x
  2. Step 2: Convert to fraction form
    312,083.30/467,510.55 = 289,964.90/x
  3. Step 3: Cross multiply
    312,083.30x = 467,510.55 × 289,964.90
  4. Step 4: Simplify right side
    312,083.30x = 135,561,649,879.70
  5. Step 5: Solve for x
    x = 135,561,649,879.70/312,083.30
  6. Step 6: Final answer
    x = 434,376.49

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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.