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Finding the Fourth Proportional to 405,030.66, 606,880.31 and 138,645.86

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Solution

The fourth proportional to 405,030.66, 606,880.31 and 138,645.86 is: 207,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,030.66 : 606,880.31 = 138,645.86 : x
  2. Step 2: Convert to fraction form
    405,030.66/606,880.31 = 138,645.86/x
  3. Step 3: Cross multiply
    405,030.66x = 606,880.31 × 138,645.86
  4. Step 4: Simplify right side
    405,030.66x = 84,141,438,769.39
  5. Step 5: Solve for x
    x = 84,141,438,769.39/405,030.66
  6. Step 6: Final answer
    x = 207,740.91

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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.