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Finding the Fourth Proportional to 381,482.48, 526,435.80 and 211,712.24

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Solution

The fourth proportional to 381,482.48, 526,435.80 and 211,712.24 is: 292,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,482.48 : 526,435.80 = 211,712.24 : x
  2. Step 2: Convert to fraction form
    381,482.48/526,435.80 = 211,712.24/x
  3. Step 3: Cross multiply
    381,482.48x = 526,435.80 × 211,712.24
  4. Step 4: Simplify right side
    381,482.48x = 111,452,902,434.19
  5. Step 5: Solve for x
    x = 111,452,902,434.19/381,482.48
  6. Step 6: Final answer
    x = 292,157.33

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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.