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Finding the Fourth Proportional to 381,271.64, 526,155.35 and 211,505.76

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Solution

The fourth proportional to 381,271.64, 526,155.35 and 211,505.76 is: 291,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,271.64 : 526,155.35 = 211,505.76 : x
  2. Step 2: Convert to fraction form
    381,271.64/526,155.35 = 211,505.76/x
  3. Step 3: Cross multiply
    381,271.64x = 526,155.35 × 211,505.76
  4. Step 4: Simplify right side
    381,271.64x = 111,284,886,122.29
  5. Step 5: Solve for x
    x = 111,284,886,122.29/381,271.64
  6. Step 6: Final answer
    x = 291,878.22

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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.