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Finding the Fourth Proportional to 647,699.80, 971,204.10 and 273,299.80

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Solution

The fourth proportional to 647,699.80, 971,204.10 and 273,299.80 is: 409,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,699.80 : 971,204.10 = 273,299.80 : x
  2. Step 2: Convert to fraction form
    647,699.80/971,204.10 = 273,299.80/x
  3. Step 3: Cross multiply
    647,699.80x = 971,204.10 × 273,299.80
  4. Step 4: Simplify right side
    647,699.80x = 265,429,886,289.18
  5. Step 5: Solve for x
    x = 265,429,886,289.18/647,699.80
  6. Step 6: Final answer
    x = 409,803.87

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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.