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Finding the Fourth Proportional to 809,176.64, 1,214,114.88 and 310,424

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Solution

The fourth proportional to 809,176.64, 1,214,114.88 and 310,424 is: 465,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,176.64 : 1,214,114.88 = 310,424 : x
  2. Step 2: Convert to fraction form
    809,176.64/1,214,114.88 = 310,424/x
  3. Step 3: Cross multiply
    809,176.64x = 1,214,114.88 × 310,424
  4. Step 4: Simplify right side
    809,176.64x = 376,890,397,509.12
  5. Step 5: Solve for x
    x = 376,890,397,509.12/809,176.64
  6. Step 6: Final answer
    x = 465,770.24

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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.