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Finding the Fourth Proportional to 407,445.48, 611,171.27 and 154,657.81

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Solution

The fourth proportional to 407,445.48, 611,171.27 and 154,657.81 is: 231,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,445.48 : 611,171.27 = 154,657.81 : x
  2. Step 2: Convert to fraction form
    407,445.48/611,171.27 = 154,657.81/x
  3. Step 3: Cross multiply
    407,445.48x = 611,171.27 × 154,657.81
  4. Step 4: Simplify right side
    407,445.48x = 94,522,409,379.83
  5. Step 5: Solve for x
    x = 94,522,409,379.83/407,445.48
  6. Step 6: Final answer
    x = 231,987.87

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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.