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Finding the Fourth Proportional to 301,544, 452,316 and 91,177.28

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Solution

The fourth proportional to 301,544, 452,316 and 91,177.28 is: 136,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,544 : 452,316 = 91,177.28 : x
  2. Step 2: Convert to fraction form
    301,544/452,316 = 91,177.28/x
  3. Step 3: Cross multiply
    301,544x = 452,316 × 91,177.28
  4. Step 4: Simplify right side
    301,544x = 41,240,942,580.48
  5. Step 5: Solve for x
    x = 41,240,942,580.48/301,544
  6. Step 6: Final answer
    x = 136,765.92

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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.