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Finding the Fourth Proportional to 301,359.84, 452,112.84 and 90,985.20

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Solution

The fourth proportional to 301,359.84, 452,112.84 and 90,985.20 is: 136,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,359.84 : 452,112.84 = 90,985.20 : x
  2. Step 2: Convert to fraction form
    301,359.84/452,112.84 = 90,985.20/x
  3. Step 3: Cross multiply
    301,359.84x = 452,112.84 × 90,985.20
  4. Step 4: Simplify right side
    301,359.84x = 41,135,577,169.97
  5. Step 5: Solve for x
    x = 41,135,577,169.97/301,359.84
  6. Step 6: Final answer
    x = 136,499.86

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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.