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Finding the Fourth Proportional to 474,945.21, 712,268.82 and 138,009.16

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Solution

The fourth proportional to 474,945.21, 712,268.82 and 138,009.16 is: 206,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,945.21 : 712,268.82 = 138,009.16 : x
  2. Step 2: Convert to fraction form
    474,945.21/712,268.82 = 138,009.16/x
  3. Step 3: Cross multiply
    474,945.21x = 712,268.82 × 138,009.16
  4. Step 4: Simplify right side
    474,945.21x = 98,299,622,432.73
  5. Step 5: Solve for x
    x = 98,299,622,432.73/474,945.21
  6. Step 6: Final answer
    x = 206,970.45

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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.