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Finding the Fourth Proportional to 255,727.66, 383,529.88 and 78,236.20

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Solution

The fourth proportional to 255,727.66, 383,529.88 and 78,236.20 is: 117,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,727.66 : 383,529.88 = 78,236.20 : x
  2. Step 2: Convert to fraction form
    255,727.66/383,529.88 = 78,236.20/x
  3. Step 3: Cross multiply
    255,727.66x = 383,529.88 × 78,236.20
  4. Step 4: Simplify right side
    255,727.66x = 30,005,920,397.66
  5. Step 5: Solve for x
    x = 30,005,920,397.66/255,727.66
  6. Step 6: Final answer
    x = 117,335.45

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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.