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Finding the Fourth Proportional to 300,070.50, 450,110.07 and 78,454.50

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Solution

The fourth proportional to 300,070.50, 450,110.07 and 78,454.50 is: 117,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,070.50 : 450,110.07 = 78,454.50 : x
  2. Step 2: Convert to fraction form
    300,070.50/450,110.07 = 78,454.50/x
  3. Step 3: Cross multiply
    300,070.50x = 450,110.07 × 78,454.50
  4. Step 4: Simplify right side
    300,070.50x = 35,313,160,486.82
  5. Step 5: Solve for x
    x = 35,313,160,486.82/300,070.50
  6. Step 6: Final answer
    x = 117,682.88

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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.