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Finding the Fourth Proportional to 318,098.54, 477,148 and 149,495.16

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Solution

The fourth proportional to 318,098.54, 477,148 and 149,495.16 is: 224,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,098.54 : 477,148 = 149,495.16 : x
  2. Step 2: Convert to fraction form
    318,098.54/477,148 = 149,495.16/x
  3. Step 3: Cross multiply
    318,098.54x = 477,148 × 149,495.16
  4. Step 4: Simplify right side
    318,098.54x = 71,331,316,603.68
  5. Step 5: Solve for x
    x = 71,331,316,603.68/318,098.54
  6. Step 6: Final answer
    x = 224,242.83

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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.