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Finding the Fourth Proportional to 225,838.72, 311,804.48 and 154,192.64

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Solution

The fourth proportional to 225,838.72, 311,804.48 and 154,192.64 is: 212,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,838.72 : 311,804.48 = 154,192.64 : x
  2. Step 2: Convert to fraction form
    225,838.72/311,804.48 = 154,192.64/x
  3. Step 3: Cross multiply
    225,838.72x = 311,804.48 × 154,192.64
  4. Step 4: Simplify right side
    225,838.72x = 48,077,955,935.03
  5. Step 5: Solve for x
    x = 48,077,955,935.03/225,838.72
  6. Step 6: Final answer
    x = 212,886.24

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1.5x scale

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.