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Finding the Fourth Proportional to 405,374.94, 607,469.13 and 228,227.58

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Solution

The fourth proportional to 405,374.94, 607,469.13 and 228,227.58 is: 342,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,374.94 : 607,469.13 = 228,227.58 : x
  2. Step 2: Convert to fraction form
    405,374.94/607,469.13 = 228,227.58/x
  3. Step 3: Cross multiply
    405,374.94x = 607,469.13 × 228,227.58
  4. Step 4: Simplify right side
    405,374.94x = 138,641,209,464.61
  5. Step 5: Solve for x
    x = 138,641,209,464.61/405,374.94
  6. Step 6: Final answer
    x = 342,007.35

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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.