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Finding the Fourth Proportional to 665,038.64, 997,869 and 384,791.60

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Solution

The fourth proportional to 665,038.64, 997,869 and 384,791.60 is: 577,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,038.64 : 997,869 = 384,791.60 : x
  2. Step 2: Convert to fraction form
    665,038.64/997,869 = 384,791.60/x
  3. Step 3: Cross multiply
    665,038.64x = 997,869 × 384,791.60
  4. Step 4: Simplify right side
    665,038.64x = 383,971,609,100.40
  5. Step 5: Solve for x
    x = 383,971,609,100.40/665,038.64
  6. Step 6: Final answer
    x = 577,367.37

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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.