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Finding the Fourth Proportional to 398,421.37, 597,719.54 and 117,960.49

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Solution

The fourth proportional to 398,421.37, 597,719.54 and 117,960.49 is: 176,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,421.37 : 597,719.54 = 117,960.49 : x
  2. Step 2: Convert to fraction form
    398,421.37/597,719.54 = 117,960.49/x
  3. Step 3: Cross multiply
    398,421.37x = 597,719.54 × 117,960.49
  4. Step 4: Simplify right side
    398,421.37x = 70,507,289,820.97
  5. Step 5: Solve for x
    x = 70,507,289,820.97/398,421.37
  6. Step 6: Final answer
    x = 176,966.64

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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.