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Finding the Fourth Proportional to 647,438.48, 971,146.20 and 247,970.96

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Solution

The fourth proportional to 647,438.48, 971,146.20 and 247,970.96 is: 371,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,438.48 : 971,146.20 = 247,970.96 : x
  2. Step 2: Convert to fraction form
    647,438.48/971,146.20 = 247,970.96/x
  3. Step 3: Cross multiply
    647,438.48x = 971,146.20 × 247,970.96
  4. Step 4: Simplify right side
    647,438.48x = 240,816,055,514.35
  5. Step 5: Solve for x
    x = 240,816,055,514.35/647,438.48
  6. Step 6: Final answer
    x = 371,952.03

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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.