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Finding the Fourth Proportional to 647,531.10, 971,005.05 and 292,362.30

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Solution

The fourth proportional to 647,531.10, 971,005.05 and 292,362.30 is: 438,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,531.10 : 971,005.05 = 292,362.30 : x
  2. Step 2: Convert to fraction form
    647,531.10/971,005.05 = 292,362.30/x
  3. Step 3: Cross multiply
    647,531.10x = 971,005.05 × 292,362.30
  4. Step 4: Simplify right side
    647,531.10x = 283,885,269,729.62
  5. Step 5: Solve for x
    x = 283,885,269,729.62/647,531.10
  6. Step 6: Final answer
    x = 438,411.79

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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.