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Finding the Fourth Proportional to 257,023.16, 354,691.91 and 143,845.91

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Solution

The fourth proportional to 257,023.16, 354,691.91 and 143,845.91 is: 198,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.16 : 354,691.91 = 143,845.91 : x
  2. Step 2: Convert to fraction form
    257,023.16/354,691.91 = 143,845.91/x
  3. Step 3: Cross multiply
    257,023.16x = 354,691.91 × 143,845.91
  4. Step 4: Simplify right side
    257,023.16x = 51,020,980,563.59
  5. Step 5: Solve for x
    x = 51,020,980,563.59/257,023.16
  6. Step 6: Final answer
    x = 198,507.33

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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.