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Finding the Fourth Proportional to 647,701.80, 971,207.10 and 273,301.80

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Solution

The fourth proportional to 647,701.80, 971,207.10 and 273,301.80 is: 409,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,701.80 : 971,207.10 = 273,301.80 : x
  2. Step 2: Convert to fraction form
    647,701.80/971,207.10 = 273,301.80/x
  3. Step 3: Cross multiply
    647,701.80x = 971,207.10 × 273,301.80
  4. Step 4: Simplify right side
    647,701.80x = 265,432,648,602.78
  5. Step 5: Solve for x
    x = 265,432,648,602.78/647,701.80
  6. Step 6: Final answer
    x = 409,806.87

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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.