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Finding the Fourth Proportional to 405,044.20, 607,652.41 and 138,733.21

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Solution

The fourth proportional to 405,044.20, 607,652.41 and 138,733.21 is: 208,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,044.20 : 607,652.41 = 138,733.21 : x
  2. Step 2: Convert to fraction form
    405,044.20/607,652.41 = 138,733.21/x
  3. Step 3: Cross multiply
    405,044.20x = 607,652.41 × 138,733.21
  4. Step 4: Simplify right side
    405,044.20x = 84,301,569,403.54
  5. Step 5: Solve for x
    x = 84,301,569,403.54/405,044.20
  6. Step 6: Final answer
    x = 208,129.31

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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.