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Finding the Fourth Proportional to 809,315.10, 1,213,000.65 and 335,756.70

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Solution

The fourth proportional to 809,315.10, 1,213,000.65 and 335,756.70 is: 503,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,315.10 : 1,213,000.65 = 335,756.70 : x
  2. Step 2: Convert to fraction form
    809,315.10/1,213,000.65 = 335,756.70/x
  3. Step 3: Cross multiply
    809,315.10x = 1,213,000.65 × 335,756.70
  4. Step 4: Simplify right side
    809,315.10x = 407,273,095,341.86
  5. Step 5: Solve for x
    x = 407,273,095,341.86/809,315.10
  6. Step 6: Final answer
    x = 503,231.80

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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.