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Finding the Fourth Proportional to 310,534.54, 465,801.57 and 100,172.48

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Solution

The fourth proportional to 310,534.54, 465,801.57 and 100,172.48 is: 150,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,534.54 : 465,801.57 = 100,172.48 : x
  2. Step 2: Convert to fraction form
    310,534.54/465,801.57 = 100,172.48/x
  3. Step 3: Cross multiply
    310,534.54x = 465,801.57 × 100,172.48
  4. Step 4: Simplify right side
    310,534.54x = 46,660,496,125.79
  5. Step 5: Solve for x
    x = 46,660,496,125.79/310,534.54
  6. Step 6: Final answer
    x = 150,258.64

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1.5x scale

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.