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Finding the Fourth Proportional to 647,706.80, 971,214.60 and 273,306.80

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Solution

The fourth proportional to 647,706.80, 971,214.60 and 273,306.80 is: 409,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,706.80 : 971,214.60 = 273,306.80 : x
  2. Step 2: Convert to fraction form
    647,706.80/971,214.60 = 273,306.80/x
  3. Step 3: Cross multiply
    647,706.80x = 971,214.60 × 273,306.80
  4. Step 4: Simplify right side
    647,706.80x = 265,439,554,439.28
  5. Step 5: Solve for x
    x = 265,439,554,439.28/647,706.80
  6. Step 6: Final answer
    x = 409,814.37

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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.