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Finding the Fourth Proportional to 410,076.51, 615,389.30 and 170,190.60

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Solution

The fourth proportional to 410,076.51, 615,389.30 and 170,190.60 is: 255,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,076.51 : 615,389.30 = 170,190.60 : x
  2. Step 2: Convert to fraction form
    410,076.51/615,389.30 = 170,190.60/x
  3. Step 3: Cross multiply
    410,076.51x = 615,389.30 × 170,190.60
  4. Step 4: Simplify right side
    410,076.51x = 104,733,473,349.63
  5. Step 5: Solve for x
    x = 104,733,473,349.63/410,076.51
  6. Step 6: Final answer
    x = 255,399.84

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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.