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Finding the Fourth Proportional to 405,043.20, 607,650.91 and 138,732.21

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Solution

The fourth proportional to 405,043.20, 607,650.91 and 138,732.21 is: 208,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,043.20 : 607,650.91 = 138,732.21 : x
  2. Step 2: Convert to fraction form
    405,043.20/607,650.91 = 138,732.21/x
  3. Step 3: Cross multiply
    405,043.20x = 607,650.91 × 138,732.21
  4. Step 4: Simplify right side
    405,043.20x = 84,300,750,614.56
  5. Step 5: Solve for x
    x = 84,300,750,614.56/405,043.20
  6. Step 6: Final answer
    x = 208,127.80

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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.