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Finding the Fourth Proportional to 405,724.80, 608,587.20 and 169,237.20

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Solution

The fourth proportional to 405,724.80, 608,587.20 and 169,237.20 is: 253,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,724.80 : 608,587.20 = 169,237.20 : x
  2. Step 2: Convert to fraction form
    405,724.80/608,587.20 = 169,237.20/x
  3. Step 3: Cross multiply
    405,724.80x = 608,587.20 × 169,237.20
  4. Step 4: Simplify right side
    405,724.80x = 102,995,593,683.84
  5. Step 5: Solve for x
    x = 102,995,593,683.84/405,724.80
  6. Step 6: Final answer
    x = 253,855.80

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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.