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Finding the Fourth Proportional to 238,934.20, 358,401.30 and 213,129.40

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Solution

The fourth proportional to 238,934.20, 358,401.30 and 213,129.40 is: 319,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,934.20 : 358,401.30 = 213,129.40 : x
  2. Step 2: Convert to fraction form
    238,934.20/358,401.30 = 213,129.40/x
  3. Step 3: Cross multiply
    238,934.20x = 358,401.30 × 213,129.40
  4. Step 4: Simplify right side
    238,934.20x = 76,385,854,028.22
  5. Step 5: Solve for x
    x = 76,385,854,028.22/238,934.20
  6. Step 6: Final answer
    x = 319,694.10

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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.