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Finding the Fourth Proportional to 257,100.84, 354,779.46 and 143,908.20

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Solution

The fourth proportional to 257,100.84, 354,779.46 and 143,908.20 is: 198,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,100.84 : 354,779.46 = 143,908.20 : x
  2. Step 2: Convert to fraction form
    257,100.84/354,779.46 = 143,908.20/x
  3. Step 3: Cross multiply
    257,100.84x = 354,779.46 × 143,908.20
  4. Step 4: Simplify right side
    257,100.84x = 51,055,673,485.57
  5. Step 5: Solve for x
    x = 51,055,673,485.57/257,100.84
  6. Step 6: Final answer
    x = 198,582.29

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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.