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Finding the Fourth Proportional to 310,632.81, 428,462.52 and 201,542.24

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Solution

The fourth proportional to 310,632.81, 428,462.52 and 201,542.24 is: 277,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,632.81 : 428,462.52 = 201,542.24 : x
  2. Step 2: Convert to fraction form
    310,632.81/428,462.52 = 201,542.24/x
  3. Step 3: Cross multiply
    310,632.81x = 428,462.52 × 201,542.24
  4. Step 4: Simplify right side
    310,632.81x = 86,353,293,894.53
  5. Step 5: Solve for x
    x = 86,353,293,894.53/310,632.81
  6. Step 6: Final answer
    x = 277,991.54

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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.