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Finding the Fourth Proportional to 289,653.12, 399,721.79 and 162,328.71

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Solution

The fourth proportional to 289,653.12, 399,721.79 and 162,328.71 is: 224,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,653.12 : 399,721.79 = 162,328.71 : x
  2. Step 2: Convert to fraction form
    289,653.12/399,721.79 = 162,328.71/x
  3. Step 3: Cross multiply
    289,653.12x = 399,721.79 × 162,328.71
  4. Step 4: Simplify right side
    289,653.12x = 64,886,322,935.41
  5. Step 5: Solve for x
    x = 64,886,322,935.41/289,653.12
  6. Step 6: Final answer
    x = 224,013.90

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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.