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Finding the Fourth Proportional to 318,683.16, 477,921.06 and 105,410.97

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Solution

The fourth proportional to 318,683.16, 477,921.06 and 105,410.97 is: 158,082.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,683.16 : 477,921.06 = 105,410.97 : x
  2. Step 2: Convert to fraction form
    318,683.16/477,921.06 = 105,410.97/x
  3. Step 3: Cross multiply
    318,683.16x = 477,921.06 × 105,410.97
  4. Step 4: Simplify right side
    318,683.16x = 50,378,122,518.03
  5. Step 5: Solve for x
    x = 50,378,122,518.03/318,683.16
  6. Step 6: Final answer
    x = 158,082.16

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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.