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Finding the Fourth Proportional to 381,347.64, 526,258.29 and 209,268.45

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Solution

The fourth proportional to 381,347.64, 526,258.29 and 209,268.45 is: 288,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,347.64 : 526,258.29 = 209,268.45 : x
  2. Step 2: Convert to fraction form
    381,347.64/526,258.29 = 209,268.45/x
  3. Step 3: Cross multiply
    381,347.64x = 526,258.29 × 209,268.45
  4. Step 4: Simplify right side
    381,347.64x = 110,129,256,647.95
  5. Step 5: Solve for x
    x = 110,129,256,647.95/381,347.64
  6. Step 6: Final answer
    x = 288,789.66

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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.