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Finding the Fourth Proportional to 381,810.51, 526,899.74 and 212,044.64

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Solution

The fourth proportional to 381,810.51, 526,899.74 and 212,044.64 is: 292,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,810.51 : 526,899.74 = 212,044.64 : x
  2. Step 2: Convert to fraction form
    381,810.51/526,899.74 = 212,044.64/x
  3. Step 3: Cross multiply
    381,810.51x = 526,899.74 × 212,044.64
  4. Step 4: Simplify right side
    381,810.51x = 111,726,261,989.67
  5. Step 5: Solve for x
    x = 111,726,261,989.67/381,810.51
  6. Step 6: Final answer
    x = 292,622.28

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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.