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Finding the Fourth Proportional to 310,032.72, 427,664.40 and 195,266.40

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Solution

The fourth proportional to 310,032.72, 427,664.40 and 195,266.40 is: 269,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,032.72 : 427,664.40 = 195,266.40 : x
  2. Step 2: Convert to fraction form
    310,032.72/427,664.40 = 195,266.40/x
  3. Step 3: Cross multiply
    310,032.72x = 427,664.40 × 195,266.40
  4. Step 4: Simplify right side
    310,032.72x = 83,508,487,796.16
  5. Step 5: Solve for x
    x = 83,508,487,796.16/310,032.72
  6. Step 6: Final answer
    x = 269,353.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.