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Finding the Fourth Proportional to 410,739.12, 615,845.03 and 171,019.08

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Solution

The fourth proportional to 410,739.12, 615,845.03 and 171,019.08 is: 256,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,739.12 : 615,845.03 = 171,019.08 : x
  2. Step 2: Convert to fraction form
    410,739.12/615,845.03 = 171,019.08/x
  3. Step 3: Cross multiply
    410,739.12x = 615,845.03 × 171,019.08
  4. Step 4: Simplify right side
    410,739.12x = 105,321,249,598.08
  5. Step 5: Solve for x
    x = 105,321,249,598.08/410,739.12
  6. Step 6: Final answer
    x = 256,418.84

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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.