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Finding the Fourth Proportional to 200,643,813.60, 300,965,720.40 and 114,550,371.60

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Solution

The fourth proportional to 200,643,813.60, 300,965,720.40 and 114,550,371.60 is: 171,825,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,643,813.60 : 300,965,720.40 = 114,550,371.60 : x
  2. Step 2: Convert to fraction form
    200,643,813.60/300,965,720.40 = 114,550,371.60/x
  3. Step 3: Cross multiply
    200,643,813.60x = 300,965,720.40 × 114,550,371.60
  4. Step 4: Simplify right side
    200,643,813.60x = 34,475,735,110,681,696
  5. Step 5: Solve for x
    x = 34,475,735,110,681,696/200,643,813.60
  6. Step 6: Final answer
    x = 171,825,557.40

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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.