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Finding the Fourth Proportional to 257,476.96, 355,298.61 and 144,277.84

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Solution

The fourth proportional to 257,476.96, 355,298.61 and 144,277.84 is: 199,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,476.96 : 355,298.61 = 144,277.84 : x
  2. Step 2: Convert to fraction form
    257,476.96/355,298.61 = 144,277.84/x
  3. Step 3: Cross multiply
    257,476.96x = 355,298.61 × 144,277.84
  4. Step 4: Simplify right side
    257,476.96x = 51,261,716,005.80
  5. Step 5: Solve for x
    x = 51,261,716,005.80/257,476.96
  6. Step 6: Final answer
    x = 199,092.44

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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.