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Finding the Fourth Proportional to 257,062.60, 354,742.50 and 143,889.40

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Solution

The fourth proportional to 257,062.60, 354,742.50 and 143,889.40 is: 198,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,062.60 : 354,742.50 = 143,889.40 : x
  2. Step 2: Convert to fraction form
    257,062.60/354,742.50 = 143,889.40/x
  3. Step 3: Cross multiply
    257,062.60x = 354,742.50 × 143,889.40
  4. Step 4: Simplify right side
    257,062.60x = 51,043,685,479.50
  5. Step 5: Solve for x
    x = 51,043,685,479.50/257,062.60
  6. Step 6: Final answer
    x = 198,565.20

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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.