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Finding the Fourth Proportional to 213,065.78, 319,186.55 and 178,460.71

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Solution

The fourth proportional to 213,065.78, 319,186.55 and 178,460.71 is: 267,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.78 : 319,186.55 = 178,460.71 : x
  2. Step 2: Convert to fraction form
    213,065.78/319,186.55 = 178,460.71/x
  3. Step 3: Cross multiply
    213,065.78x = 319,186.55 × 178,460.71
  4. Step 4: Simplify right side
    213,065.78x = 56,962,258,379.43
  5. Step 5: Solve for x
    x = 56,962,258,379.43/213,065.78
  6. Step 6: Final answer
    x = 267,345.88

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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.