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Finding the Fourth Proportional to 310,302.92, 465,454.40 and 99,940.86

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Solution

The fourth proportional to 310,302.92, 465,454.40 and 99,940.86 is: 149,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,302.92 : 465,454.40 = 99,940.86 : x
  2. Step 2: Convert to fraction form
    310,302.92/465,454.40 = 99,940.86/x
  3. Step 3: Cross multiply
    310,302.92x = 465,454.40 × 99,940.86
  4. Step 4: Simplify right side
    310,302.92x = 46,517,912,527.08
  5. Step 5: Solve for x
    x = 46,517,912,527.08/310,302.92
  6. Step 6: Final answer
    x = 149,911.30

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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.