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Finding the Fourth Proportional to 257,210.77, 354,950.78 and 142,496.87

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Solution

The fourth proportional to 257,210.77, 354,950.78 and 142,496.87 is: 196,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,210.77 : 354,950.78 = 142,496.87 : x
  2. Step 2: Convert to fraction form
    257,210.77/354,950.78 = 142,496.87/x
  3. Step 3: Cross multiply
    257,210.77x = 354,950.78 × 142,496.87
  4. Step 4: Simplify right side
    257,210.77x = 50,579,375,865.74
  5. Step 5: Solve for x
    x = 50,579,375,865.74/257,210.77
  6. Step 6: Final answer
    x = 196,645.64

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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.