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Finding the Fourth Proportional to 257,684.84, 357,986.03 and 255,377.96

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Solution

The fourth proportional to 257,684.84, 357,986.03 and 255,377.96 is: 354,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,684.84 : 357,986.03 = 255,377.96 : x
  2. Step 2: Convert to fraction form
    257,684.84/357,986.03 = 255,377.96/x
  3. Step 3: Cross multiply
    257,684.84x = 357,986.03 × 255,377.96
  4. Step 4: Simplify right side
    257,684.84x = 91,421,742,049.90
  5. Step 5: Solve for x
    x = 91,421,742,049.90/257,684.84
  6. Step 6: Final answer
    x = 354,781.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.