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Finding the Fourth Proportional to 465,807.41, 698,672.15 and 128,852.21

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Solution

The fourth proportional to 465,807.41, 698,672.15 and 128,852.21 is: 193,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,807.41 : 698,672.15 = 128,852.21 : x
  2. Step 2: Convert to fraction form
    465,807.41/698,672.15 = 128,852.21/x
  3. Step 3: Cross multiply
    465,807.41x = 698,672.15 × 128,852.21
  4. Step 4: Simplify right side
    465,807.41x = 90,025,446,455.33
  5. Step 5: Solve for x
    x = 90,025,446,455.33/465,807.41
  6. Step 6: Final answer
    x = 193,267.53

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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.