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Finding the Fourth Proportional to 225,224.47, 311,064.87 and 153,479.94

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Solution

The fourth proportional to 225,224.47, 311,064.87 and 153,479.94 is: 211,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,224.47 : 311,064.87 = 153,479.94 : x
  2. Step 2: Convert to fraction form
    225,224.47/311,064.87 = 153,479.94/x
  3. Step 3: Cross multiply
    225,224.47x = 311,064.87 × 153,479.94
  4. Step 4: Simplify right side
    225,224.47x = 47,742,217,583.71
  5. Step 5: Solve for x
    x = 47,742,217,583.71/225,224.47
  6. Step 6: Final answer
    x = 211,976.16

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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.