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Finding the Fourth Proportional to 393,544.96, 589,966.80 and 144,168.64

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Solution

The fourth proportional to 393,544.96, 589,966.80 and 144,168.64 is: 216,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,544.96 : 589,966.80 = 144,168.64 : x
  2. Step 2: Convert to fraction form
    393,544.96/589,966.80 = 144,168.64/x
  3. Step 3: Cross multiply
    393,544.96x = 589,966.80 × 144,168.64
  4. Step 4: Simplify right side
    393,544.96x = 85,054,711,201.15
  5. Step 5: Solve for x
    x = 85,054,711,201.15/393,544.96
  6. Step 6: Final answer
    x = 216,124.51

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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.