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Finding the Fourth Proportional to 310,234.86, 428,057.67 and 181,114.68

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Solution

The fourth proportional to 310,234.86, 428,057.67 and 181,114.68 is: 249,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,234.86 : 428,057.67 = 181,114.68 : x
  2. Step 2: Convert to fraction form
    310,234.86/428,057.67 = 181,114.68/x
  3. Step 3: Cross multiply
    310,234.86x = 428,057.67 × 181,114.68
  4. Step 4: Simplify right side
    310,234.86x = 77,527,527,923.60
  5. Step 5: Solve for x
    x = 77,527,527,923.60/310,234.86
  6. Step 6: Final answer
    x = 249,899.47

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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.