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Finding the Fourth Proportional to 647,820.20, 971,438.70 and 248,328.20

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Solution

The fourth proportional to 647,820.20, 971,438.70 and 248,328.20 is: 372,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,820.20 : 971,438.70 = 248,328.20 : x
  2. Step 2: Convert to fraction form
    647,820.20/971,438.70 = 248,328.20/x
  3. Step 3: Cross multiply
    647,820.20x = 971,438.70 × 248,328.20
  4. Step 4: Simplify right side
    647,820.20x = 241,235,623,781.34
  5. Step 5: Solve for x
    x = 241,235,623,781.34/647,820.20
  6. Step 6: Final answer
    x = 372,380.52

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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.