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Finding the Fourth Proportional to 262,451,978.10, 393,363,039.15 and 180,570,698.10

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Solution

The fourth proportional to 262,451,978.10, 393,363,039.15 and 180,570,698.10 is: 270,639,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,451,978.10 : 393,363,039.15 = 180,570,698.10 : x
  2. Step 2: Convert to fraction form
    262,451,978.10/393,363,039.15 = 180,570,698.10/x
  3. Step 3: Cross multiply
    262,451,978.10x = 393,363,039.15 × 180,570,698.10
  4. Step 4: Simplify right side
    262,451,978.10x = 71,029,838,586,053,120
  5. Step 5: Solve for x
    x = 71,029,838,586,053,120/262,451,978.10
  6. Step 6: Final answer
    x = 270,639,372.20

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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.