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Finding the Fourth Proportional to 256,952.88, 385,207.83 and 99,291.96

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Solution

The fourth proportional to 256,952.88, 385,207.83 and 99,291.96 is: 148,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,952.88 : 385,207.83 = 99,291.96 : x
  2. Step 2: Convert to fraction form
    256,952.88/385,207.83 = 99,291.96/x
  3. Step 3: Cross multiply
    256,952.88x = 385,207.83 × 99,291.96
  4. Step 4: Simplify right side
    256,952.88x = 38,248,040,448.05
  5. Step 5: Solve for x
    x = 38,248,040,448.05/256,952.88
  6. Step 6: Final answer
    x = 148,852.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.