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Finding the Fourth Proportional to 405,432, 559,513.44 and 226,584

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Solution

The fourth proportional to 405,432, 559,513.44 and 226,584 is: 312,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,432 : 559,513.44 = 226,584 : x
  2. Step 2: Convert to fraction form
    405,432/559,513.44 = 226,584/x
  3. Step 3: Cross multiply
    405,432x = 559,513.44 × 226,584
  4. Step 4: Simplify right side
    405,432x = 126,776,793,288.96
  5. Step 5: Solve for x
    x = 126,776,793,288.96/405,432
  6. Step 6: Final answer
    x = 312,695.58

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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.