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Finding the Fourth Proportional to 405,643.20, 608,810.40 and 181,348.80

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Solution

The fourth proportional to 405,643.20, 608,810.40 and 181,348.80 is: 272,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,643.20 : 608,810.40 = 181,348.80 : x
  2. Step 2: Convert to fraction form
    405,643.20/608,810.40 = 181,348.80/x
  3. Step 3: Cross multiply
    405,643.20x = 608,810.40 × 181,348.80
  4. Step 4: Simplify right side
    405,643.20x = 110,407,035,467.52
  5. Step 5: Solve for x
    x = 110,407,035,467.52/405,643.20
  6. Step 6: Final answer
    x = 272,177.71

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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.