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Finding the Fourth Proportional to 282,793.86, 423,932.45 and 258,140.88

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Solution

The fourth proportional to 282,793.86, 423,932.45 and 258,140.88 is: 386,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,793.86 : 423,932.45 = 258,140.88 : x
  2. Step 2: Convert to fraction form
    282,793.86/423,932.45 = 258,140.88/x
  3. Step 3: Cross multiply
    282,793.86x = 423,932.45 × 258,140.88
  4. Step 4: Simplify right side
    282,793.86x = 109,434,294,412.85
  5. Step 5: Solve for x
    x = 109,434,294,412.85/282,793.86
  6. Step 6: Final answer
    x = 386,975.50

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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.