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Finding the Fourth Proportional to 319,792.89, 441,335.48 and 212,177.91

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Solution

The fourth proportional to 319,792.89, 441,335.48 and 212,177.91 is: 292,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,792.89 : 441,335.48 = 212,177.91 : x
  2. Step 2: Convert to fraction form
    319,792.89/441,335.48 = 212,177.91/x
  3. Step 3: Cross multiply
    319,792.89x = 441,335.48 × 212,177.91
  4. Step 4: Simplify right side
    319,792.89x = 93,641,638,694.36
  5. Step 5: Solve for x
    x = 93,641,638,694.36/319,792.89
  6. Step 6: Final answer
    x = 292,819.64

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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.