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Finding the Fourth Proportional to 432,823.30, 649,234.95 and 255,415.30

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Solution

The fourth proportional to 432,823.30, 649,234.95 and 255,415.30 is: 383,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,823.30 : 649,234.95 = 255,415.30 : x
  2. Step 2: Convert to fraction form
    432,823.30/649,234.95 = 255,415.30/x
  3. Step 3: Cross multiply
    432,823.30x = 649,234.95 × 255,415.30
  4. Step 4: Simplify right side
    432,823.30x = 165,824,539,524.74
  5. Step 5: Solve for x
    x = 165,824,539,524.74/432,823.30
  6. Step 6: Final answer
    x = 383,122.95

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Similar ratio
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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.