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Finding the Fourth Proportional to 238,391.10, 357,404.40 and 120,147.30

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Solution

The fourth proportional to 238,391.10, 357,404.40 and 120,147.30 is: 180,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,391.10 : 357,404.40 = 120,147.30 : x
  2. Step 2: Convert to fraction form
    238,391.10/357,404.40 = 120,147.30/x
  3. Step 3: Cross multiply
    238,391.10x = 357,404.40 × 120,147.30
  4. Step 4: Simplify right side
    238,391.10x = 42,941,173,668.12
  5. Step 5: Solve for x
    x = 42,941,173,668.12/238,391.10
  6. Step 6: Final answer
    x = 180,129.10

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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.