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Finding the Fourth Proportional to 566,891.42, 782,310.04 and 312,242.61

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Solution

The fourth proportional to 566,891.42, 782,310.04 and 312,242.61 is: 430,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,891.42 : 782,310.04 = 312,242.61 : x
  2. Step 2: Convert to fraction form
    566,891.42/782,310.04 = 312,242.61/x
  3. Step 3: Cross multiply
    566,891.42x = 782,310.04 × 312,242.61
  4. Step 4: Simplify right side
    566,891.42x = 244,270,528,718.80
  5. Step 5: Solve for x
    x = 244,270,528,718.80/566,891.42
  6. Step 6: Final answer
    x = 430,894.73

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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.