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Finding the Fourth Proportional to 226,807.67, 312,988.81 and 123,437.50

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Solution

The fourth proportional to 226,807.67, 312,988.81 and 123,437.50 is: 170,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,807.67 : 312,988.81 = 123,437.50 : x
  2. Step 2: Convert to fraction form
    226,807.67/312,988.81 = 123,437.50/x
  3. Step 3: Cross multiply
    226,807.67x = 312,988.81 × 123,437.50
  4. Step 4: Simplify right side
    226,807.67x = 38,634,556,234.38
  5. Step 5: Solve for x
    x = 38,634,556,234.38/226,807.67
  6. Step 6: Final answer
    x = 170,340.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.