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Finding the Fourth Proportional to 289,712.72, 399,804.44 and 160,660.28

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Solution

The fourth proportional to 289,712.72, 399,804.44 and 160,660.28 is: 221,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.72 : 399,804.44 = 160,660.28 : x
  2. Step 2: Convert to fraction form
    289,712.72/399,804.44 = 160,660.28/x
  3. Step 3: Cross multiply
    289,712.72x = 399,804.44 × 160,660.28
  4. Step 4: Simplify right side
    289,712.72x = 64,232,690,473.32
  5. Step 5: Solve for x
    x = 64,232,690,473.32/289,712.72
  6. Step 6: Final answer
    x = 221,711.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.