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Finding the Fourth Proportional to 256,914,682.80, 385,260,049.80 and 103,509,754.80

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Solution

The fourth proportional to 256,914,682.80, 385,260,049.80 and 103,509,754.80 is: 155,219,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,914,682.80 : 385,260,049.80 = 103,509,754.80 : x
  2. Step 2: Convert to fraction form
    256,914,682.80/385,260,049.80 = 103,509,754.80/x
  3. Step 3: Cross multiply
    256,914,682.80x = 385,260,049.80 × 103,509,754.80
  4. Step 4: Simplify right side
    256,914,682.80x = 39,878,173,289,033,792
  5. Step 5: Solve for x
    x = 39,878,173,289,033,792/256,914,682.80
  6. Step 6: Final answer
    x = 155,219,518.22

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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.