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Finding the Fourth Proportional to 381,671.68, 526,686.34 and 211,894.87

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Solution

The fourth proportional to 381,671.68, 526,686.34 and 211,894.87 is: 292,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,671.68 : 526,686.34 = 211,894.87 : x
  2. Step 2: Convert to fraction form
    381,671.68/526,686.34 = 211,894.87/x
  3. Step 3: Cross multiply
    381,671.68x = 526,686.34 × 211,894.87
  4. Step 4: Simplify right side
    381,671.68x = 111,602,129,852.17
  5. Step 5: Solve for x
    x = 111,602,129,852.17/381,671.68
  6. Step 6: Final answer
    x = 292,403.49

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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.