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Finding the Fourth Proportional to 291,013.76, 401,595 and 163,689.20

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Solution

The fourth proportional to 291,013.76, 401,595 and 163,689.20 is: 225,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,013.76 : 401,595 = 163,689.20 : x
  2. Step 2: Convert to fraction form
    291,013.76/401,595 = 163,689.20/x
  3. Step 3: Cross multiply
    291,013.76x = 401,595 × 163,689.20
  4. Step 4: Simplify right side
    291,013.76x = 65,736,764,274.00
  5. Step 5: Solve for x
    x = 65,736,764,274.00/291,013.76
  6. Step 6: Final answer
    x = 225,888.85

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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.