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Finding the Fourth Proportional to 870,978.52, 1,306,467.30 and 271,991.01

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Solution

The fourth proportional to 870,978.52, 1,306,467.30 and 271,991.01 is: 407,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,978.52 : 1,306,467.30 = 271,991.01 : x
  2. Step 2: Convert to fraction form
    870,978.52/1,306,467.30 = 271,991.01/x
  3. Step 3: Cross multiply
    870,978.52x = 1,306,467.30 × 271,991.01
  4. Step 4: Simplify right side
    870,978.52x = 355,347,365,613.22
  5. Step 5: Solve for x
    x = 355,347,365,613.22/870,978.52
  6. Step 6: Final answer
    x = 407,986.37

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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.