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Finding the Fourth Proportional to 477,305.92, 716,100.96 and 196,840

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Solution

The fourth proportional to 477,305.92, 716,100.96 and 196,840 is: 295,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,305.92 : 716,100.96 = 196,840 : x
  2. Step 2: Convert to fraction form
    477,305.92/716,100.96 = 196,840/x
  3. Step 3: Cross multiply
    477,305.92x = 716,100.96 × 196,840
  4. Step 4: Simplify right side
    477,305.92x = 140,957,312,966.40
  5. Step 5: Solve for x
    x = 140,957,312,966.40/477,305.92
  6. Step 6: Final answer
    x = 295,318.59

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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.