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Finding the Fourth Proportional to 286,520.76, 428,587.74 and 265,263.12

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Solution

The fourth proportional to 286,520.76, 428,587.74 and 265,263.12 is: 396,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,520.76 : 428,587.74 = 265,263.12 : x
  2. Step 2: Convert to fraction form
    286,520.76/428,587.74 = 265,263.12/x
  3. Step 3: Cross multiply
    286,520.76x = 428,587.74 × 265,263.12
  4. Step 4: Simplify right side
    286,520.76x = 113,688,521,106.15
  5. Step 5: Solve for x
    x = 113,688,521,106.15/286,520.76
  6. Step 6: Final answer
    x = 396,789.82

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1.5x scale

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.