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Finding the Fourth Proportional to 381,862, 526,969.60 and 212,111.92

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Solution

The fourth proportional to 381,862, 526,969.60 and 212,111.92 is: 292,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,862 : 526,969.60 = 212,111.92 : x
  2. Step 2: Convert to fraction form
    381,862/526,969.60 = 212,111.92/x
  3. Step 3: Cross multiply
    381,862x = 526,969.60 × 212,111.92
  4. Step 4: Simplify right side
    381,862x = 111,776,533,637.63
  5. Step 5: Solve for x
    x = 111,776,533,637.63/381,862
  6. Step 6: Final answer
    x = 292,714.47

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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.