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Finding the Fourth Proportional to 288,331.94, 431,646.18 and 212,951.46

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Solution

The fourth proportional to 288,331.94, 431,646.18 and 212,951.46 is: 318,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,331.94 : 431,646.18 = 212,951.46 : x
  2. Step 2: Convert to fraction form
    288,331.94/431,646.18 = 212,951.46/x
  3. Step 3: Cross multiply
    288,331.94x = 431,646.18 × 212,951.46
  4. Step 4: Simplify right side
    288,331.94x = 91,919,684,234.42
  5. Step 5: Solve for x
    x = 91,919,684,234.42/288,331.94
  6. Step 6: Final answer
    x = 318,798.13

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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.