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Finding the Fourth Proportional to 647,203.53, 970,042.82 and 291,801.45

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Solution

The fourth proportional to 647,203.53, 970,042.82 and 291,801.45 is: 437,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,203.53 : 970,042.82 = 291,801.45 : x
  2. Step 2: Convert to fraction form
    647,203.53/970,042.82 = 291,801.45/x
  3. Step 3: Cross multiply
    647,203.53x = 970,042.82 × 291,801.45
  4. Step 4: Simplify right side
    647,203.53x = 283,059,899,979.08
  5. Step 5: Solve for x
    x = 283,059,899,979.08/647,203.53
  6. Step 6: Final answer
    x = 437,358.40

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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.