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Finding the Fourth Proportional to 647,530.10, 971,003.55 and 292,361.30

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Solution

The fourth proportional to 647,530.10, 971,003.55 and 292,361.30 is: 438,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,530.10 : 971,003.55 = 292,361.30 : x
  2. Step 2: Convert to fraction form
    647,530.10/971,003.55 = 292,361.30/x
  3. Step 3: Cross multiply
    647,530.10x = 971,003.55 × 292,361.30
  4. Step 4: Simplify right side
    647,530.10x = 283,883,860,182.62
  5. Step 5: Solve for x
    x = 283,883,860,182.62/647,530.10
  6. Step 6: Final answer
    x = 438,410.29

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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.