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Finding the Fourth Proportional to 407,421.52, 611,732.20 and 227,858.76

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Solution

The fourth proportional to 407,421.52, 611,732.20 and 227,858.76 is: 342,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,421.52 : 611,732.20 = 227,858.76 : x
  2. Step 2: Convert to fraction form
    407,421.52/611,732.20 = 227,858.76/x
  3. Step 3: Cross multiply
    407,421.52x = 611,732.20 × 227,858.76
  4. Step 4: Simplify right side
    407,421.52x = 139,388,540,544.07
  5. Step 5: Solve for x
    x = 139,388,540,544.07/407,421.52
  6. Step 6: Final answer
    x = 342,123.66

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1.5x scale

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.