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Finding the Fourth Proportional to 379,838.80, 569,291.64 and 213,276.88

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Solution

The fourth proportional to 379,838.80, 569,291.64 and 213,276.88 is: 319,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,838.80 : 569,291.64 = 213,276.88 : x
  2. Step 2: Convert to fraction form
    379,838.80/569,291.64 = 213,276.88/x
  3. Step 3: Cross multiply
    379,838.80x = 569,291.64 × 213,276.88
  4. Step 4: Simplify right side
    379,838.80x = 121,416,744,789.28
  5. Step 5: Solve for x
    x = 121,416,744,789.28/379,838.80
  6. Step 6: Final answer
    x = 319,653.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.