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Finding the Fourth Proportional to 405,987.30, 608,503.38 and 165,953.16

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Solution

The fourth proportional to 405,987.30, 608,503.38 and 165,953.16 is: 248,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,987.30 : 608,503.38 = 165,953.16 : x
  2. Step 2: Convert to fraction form
    405,987.30/608,503.38 = 165,953.16/x
  3. Step 3: Cross multiply
    405,987.30x = 608,503.38 × 165,953.16
  4. Step 4: Simplify right side
    405,987.30x = 100,983,058,781.68
  5. Step 5: Solve for x
    x = 100,983,058,781.68/405,987.30
  6. Step 6: Final answer
    x = 248,734.53

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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.