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Finding the Fourth Proportional to 509,774.12, 703,499.70 and 280,316.86

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Solution

The fourth proportional to 509,774.12, 703,499.70 and 280,316.86 is: 386,843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,774.12 : 703,499.70 = 280,316.86 : x
  2. Step 2: Convert to fraction form
    509,774.12/703,499.70 = 280,316.86/x
  3. Step 3: Cross multiply
    509,774.12x = 703,499.70 × 280,316.86
  4. Step 4: Simplify right side
    509,774.12x = 197,202,826,914.94
  5. Step 5: Solve for x
    x = 197,202,826,914.94/509,774.12
  6. Step 6: Final answer
    x = 386,843.54

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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.