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Finding the Fourth Proportional to 368,907,491.68, 509,091,907.08 and 201,644,851.40

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Solution

The fourth proportional to 368,907,491.68, 509,091,907.08 and 201,644,851.40 is: 278,269,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,907,491.68 : 509,091,907.08 = 201,644,851.40 : x
  2. Step 2: Convert to fraction form
    368,907,491.68/509,091,907.08 = 201,644,851.40/x
  3. Step 3: Cross multiply
    368,907,491.68x = 509,091,907.08 × 201,644,851.40
  4. Step 4: Simplify right side
    368,907,491.68x = 102,655,761,952,089,200
  5. Step 5: Solve for x
    x = 102,655,761,952,089,200/368,907,491.68
  6. Step 6: Final answer
    x = 278,269,659.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.