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Finding the Fourth Proportional to 311,932.73, 430,468.35 and 168,693.95

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Solution

The fourth proportional to 311,932.73, 430,468.35 and 168,693.95 is: 232,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,932.73 : 430,468.35 = 168,693.95 : x
  2. Step 2: Convert to fraction form
    311,932.73/430,468.35 = 168,693.95/x
  3. Step 3: Cross multiply
    311,932.73x = 430,468.35 × 168,693.95
  4. Step 4: Simplify right side
    311,932.73x = 72,617,406,311.48
  5. Step 5: Solve for x
    x = 72,617,406,311.48/311,932.73
  6. Step 6: Final answer
    x = 232,798.29

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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.