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Finding the Fourth Proportional to 318,054.24, 477,099.24 and 101,931.78

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Solution

The fourth proportional to 318,054.24, 477,099.24 and 101,931.78 is: 152,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,054.24 : 477,099.24 = 101,931.78 : x
  2. Step 2: Convert to fraction form
    318,054.24/477,099.24 = 101,931.78/x
  3. Step 3: Cross multiply
    318,054.24x = 477,099.24 × 101,931.78
  4. Step 4: Simplify right side
    318,054.24x = 48,631,574,769.85
  5. Step 5: Solve for x
    x = 48,631,574,769.85/318,054.24
  6. Step 6: Final answer
    x = 152,903.40

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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.