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Finding the Fourth Proportional to 643,915.96, 965,480.28 and 307,059.64

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Solution

The fourth proportional to 643,915.96, 965,480.28 and 307,059.64 is: 460,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,915.96 : 965,480.28 = 307,059.64 : x
  2. Step 2: Convert to fraction form
    643,915.96/965,480.28 = 307,059.64/x
  3. Step 3: Cross multiply
    643,915.96x = 965,480.28 × 307,059.64
  4. Step 4: Simplify right side
    643,915.96x = 296,460,027,203.90
  5. Step 5: Solve for x
    x = 296,460,027,203.90/643,915.96
  6. Step 6: Final answer
    x = 460,401.74

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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.