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Finding the Fourth Proportional to 257,048.40, 354,727.80 and 143,871

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Solution

The fourth proportional to 257,048.40, 354,727.80 and 143,871 is: 198,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,048.40 : 354,727.80 = 143,871 : x
  2. Step 2: Convert to fraction form
    257,048.40/354,727.80 = 143,871/x
  3. Step 3: Cross multiply
    257,048.40x = 354,727.80 × 143,871
  4. Step 4: Simplify right side
    257,048.40x = 51,035,043,313.80
  5. Step 5: Solve for x
    x = 51,035,043,313.80/257,048.40
  6. Step 6: Final answer
    x = 198,542.54

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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.