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Finding the Fourth Proportional to 477,958.20, 716,969.70 and 162,438.90

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Solution

The fourth proportional to 477,958.20, 716,969.70 and 162,438.90 is: 243,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,958.20 : 716,969.70 = 162,438.90 : x
  2. Step 2: Convert to fraction form
    477,958.20/716,969.70 = 162,438.90/x
  3. Step 3: Cross multiply
    477,958.20x = 716,969.70 × 162,438.90
  4. Step 4: Simplify right side
    477,958.20x = 116,463,769,401.33
  5. Step 5: Solve for x
    x = 116,463,769,401.33/477,958.20
  6. Step 6: Final answer
    x = 243,669.36

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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.