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Finding the Fourth Proportional to 380,875.88, 571,315.84 and 114,634.56

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Solution

The fourth proportional to 380,875.88, 571,315.84 and 114,634.56 is: 171,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,875.88 : 571,315.84 = 114,634.56 : x
  2. Step 2: Convert to fraction form
    380,875.88/571,315.84 = 114,634.56/x
  3. Step 3: Cross multiply
    380,875.88x = 571,315.84 × 114,634.56
  4. Step 4: Simplify right side
    380,875.88x = 65,492,539,939.43
  5. Step 5: Solve for x
    x = 65,492,539,939.43/380,875.88
  6. Step 6: Final answer
    x = 171,952.45

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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.