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Finding the Fourth Proportional to 256,859.68, 354,465.36 and 143,682.16

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Solution

The fourth proportional to 256,859.68, 354,465.36 and 143,682.16 is: 198,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,859.68 : 354,465.36 = 143,682.16 : x
  2. Step 2: Convert to fraction form
    256,859.68/354,465.36 = 143,682.16/x
  3. Step 3: Cross multiply
    256,859.68x = 354,465.36 × 143,682.16
  4. Step 4: Simplify right side
    256,859.68x = 50,930,348,569.98
  5. Step 5: Solve for x
    x = 50,930,348,569.98/256,859.68
  6. Step 6: Final answer
    x = 198,280.82

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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.