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Finding the Fourth Proportional to 301,830.56, 452,744.21 and 77,190.63

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Solution

The fourth proportional to 301,830.56, 452,744.21 and 77,190.63 is: 115,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.56 : 452,744.21 = 77,190.63 : x
  2. Step 2: Convert to fraction form
    301,830.56/452,744.21 = 77,190.63/x
  3. Step 3: Cross multiply
    301,830.56x = 452,744.21 × 77,190.63
  4. Step 4: Simplify right side
    301,830.56x = 34,947,610,412.80
  5. Step 5: Solve for x
    x = 34,947,610,412.80/301,830.56
  6. Step 6: Final answer
    x = 115,785.53

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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.