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Finding the Fourth Proportional to 647,673.93, 971,031.04 and 310,393.44

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Solution

The fourth proportional to 647,673.93, 971,031.04 and 310,393.44 is: 465,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,673.93 : 971,031.04 = 310,393.44 : x
  2. Step 2: Convert to fraction form
    647,673.93/971,031.04 = 310,393.44/x
  3. Step 3: Cross multiply
    647,673.93x = 971,031.04 × 310,393.44
  4. Step 4: Simplify right side
    647,673.93x = 301,401,664,076.39
  5. Step 5: Solve for x
    x = 301,401,664,076.39/647,673.93
  6. Step 6: Final answer
    x = 465,360.19

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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.