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Finding the Fourth Proportional to 405,030.34, 606,879.83 and 138,645.54

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Solution

The fourth proportional to 405,030.34, 606,879.83 and 138,645.54 is: 207,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,030.34 : 606,879.83 = 138,645.54 : x
  2. Step 2: Convert to fraction form
    405,030.34/606,879.83 = 138,645.54/x
  3. Step 3: Cross multiply
    405,030.34x = 606,879.83 × 138,645.54
  4. Step 4: Simplify right side
    405,030.34x = 84,141,182,710.05
  5. Step 5: Solve for x
    x = 84,141,182,710.05/405,030.34
  6. Step 6: Final answer
    x = 207,740.44

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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.