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Finding the Fourth Proportional to 565,242.39, 847,988.15 and 312,890.96

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Solution

The fourth proportional to 565,242.39, 847,988.15 and 312,890.96 is: 469,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,242.39 : 847,988.15 = 312,890.96 : x
  2. Step 2: Convert to fraction form
    565,242.39/847,988.15 = 312,890.96/x
  3. Step 3: Cross multiply
    565,242.39x = 847,988.15 × 312,890.96
  4. Step 4: Simplify right side
    565,242.39x = 265,327,820,517.73
  5. Step 5: Solve for x
    x = 265,327,820,517.73/565,242.39
  6. Step 6: Final answer
    x = 469,405.38

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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.