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Finding the Fourth Proportional to 301,947.60, 452,919.78 and 77,307.60

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Solution

The fourth proportional to 301,947.60, 452,919.78 and 77,307.60 is: 115,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,947.60 : 452,919.78 = 77,307.60 : x
  2. Step 2: Convert to fraction form
    301,947.60/452,919.78 = 77,307.60/x
  3. Step 3: Cross multiply
    301,947.60x = 452,919.78 × 77,307.60
  4. Step 4: Simplify right side
    301,947.60x = 35,014,141,184.33
  5. Step 5: Solve for x
    x = 35,014,141,184.33/301,947.60
  6. Step 6: Final answer
    x = 115,960.99

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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.