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Finding the Fourth Proportional to 565,243.39, 847,989.65 and 312,891.96

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Solution

The fourth proportional to 565,243.39, 847,989.65 and 312,891.96 is: 469,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,243.39 : 847,989.65 = 312,891.96 : x
  2. Step 2: Convert to fraction form
    565,243.39/847,989.65 = 312,891.96/x
  3. Step 3: Cross multiply
    565,243.39x = 847,989.65 × 312,891.96
  4. Step 4: Simplify right side
    565,243.39x = 265,329,143,648.21
  5. Step 5: Solve for x
    x = 265,329,143,648.21/565,243.39
  6. Step 6: Final answer
    x = 469,406.89

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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.