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Finding the Fourth Proportional to 405,043.70, 607,651.67 and 138,732.71

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Solution

The fourth proportional to 405,043.70, 607,651.67 and 138,732.71 is: 208,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,043.70 : 607,651.67 = 138,732.71 : x
  2. Step 2: Convert to fraction form
    405,043.70/607,651.67 = 138,732.71/x
  3. Step 3: Cross multiply
    405,043.70x = 607,651.67 × 138,732.71
  4. Step 4: Simplify right side
    405,043.70x = 84,301,159,183.20
  5. Step 5: Solve for x
    x = 84,301,159,183.20/405,043.70
  6. Step 6: Final answer
    x = 208,128.56

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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.