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Finding the Fourth Proportional to 395,258.67, 545,456.35 and 213,970.55

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Solution

The fourth proportional to 395,258.67, 545,456.35 and 213,970.55 is: 295,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,258.67 : 545,456.35 = 213,970.55 : x
  2. Step 2: Convert to fraction form
    395,258.67/545,456.35 = 213,970.55/x
  3. Step 3: Cross multiply
    395,258.67x = 545,456.35 × 213,970.55
  4. Step 4: Simplify right side
    395,258.67x = 116,711,594,615.28
  5. Step 5: Solve for x
    x = 116,711,594,615.28/395,258.67
  6. Step 6: Final answer
    x = 295,279.02

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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.