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Finding the Fourth Proportional to 381,792.64, 526,877.04 and 212,029.60

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Solution

The fourth proportional to 381,792.64, 526,877.04 and 212,029.60 is: 292,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,792.64 : 526,877.04 = 212,029.60 : x
  2. Step 2: Convert to fraction form
    381,792.64/526,877.04 = 212,029.60/x
  3. Step 3: Cross multiply
    381,792.64x = 526,877.04 × 212,029.60
  4. Step 4: Simplify right side
    381,792.64x = 111,713,528,040.38
  5. Step 5: Solve for x
    x = 111,713,528,040.38/381,792.64
  6. Step 6: Final answer
    x = 292,602.62

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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.