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Finding the Fourth Proportional to 381,392.88, 526,336.24 and 209,316.08

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Solution

The fourth proportional to 381,392.88, 526,336.24 and 209,316.08 is: 288,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,392.88 : 526,336.24 = 209,316.08 : x
  2. Step 2: Convert to fraction form
    381,392.88/526,336.24 = 209,316.08/x
  3. Step 3: Cross multiply
    381,392.88x = 526,336.24 × 209,316.08
  4. Step 4: Simplify right side
    381,392.88x = 110,170,638,518.74
  5. Step 5: Solve for x
    x = 110,170,638,518.74/381,392.88
  6. Step 6: Final answer
    x = 288,863.91

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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.