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Finding the Fourth Proportional to 381,344.51, 526,253.98 and 209,265.33

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Solution

The fourth proportional to 381,344.51, 526,253.98 and 209,265.33 is: 288,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,344.51 : 526,253.98 = 209,265.33 : x
  2. Step 2: Convert to fraction form
    381,344.51/526,253.98 = 209,265.33/x
  3. Step 3: Cross multiply
    381,344.51x = 526,253.98 × 209,265.33
  4. Step 4: Simplify right side
    381,344.51x = 110,126,712,788.51
  5. Step 5: Solve for x
    x = 110,126,712,788.51/381,344.51
  6. Step 6: Final answer
    x = 288,785.36

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1.5x scale

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.