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Finding the Fourth Proportional to 646,873,800.80, 970,436,672.40 and 186,826,978.40

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Solution

The fourth proportional to 646,873,800.80, 970,436,672.40 and 186,826,978.40 is: 280,276,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,873,800.80 : 970,436,672.40 = 186,826,978.40 : x
  2. Step 2: Convert to fraction form
    646,873,800.80/970,436,672.40 = 186,826,978.40/x
  3. Step 3: Cross multiply
    646,873,800.80x = 970,436,672.40 × 186,826,978.40
  4. Step 4: Simplify right side
    646,873,800.80x = 181,303,751,233,042,688
  5. Step 5: Solve for x
    x = 181,303,751,233,042,688/646,873,800.80
  6. Step 6: Final answer
    x = 280,276,850.00

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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.