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Finding the Fourth Proportional to 398,402.64, 597,720.54 and 128,525.58

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Solution

The fourth proportional to 398,402.64, 597,720.54 and 128,525.58 is: 192,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,402.64 : 597,720.54 = 128,525.58 : x
  2. Step 2: Convert to fraction form
    398,402.64/597,720.54 = 128,525.58/x
  3. Step 3: Cross multiply
    398,402.64x = 597,720.54 × 128,525.58
  4. Step 4: Simplify right side
    398,402.64x = 76,822,379,081.41
  5. Step 5: Solve for x
    x = 76,822,379,081.41/398,402.64
  6. Step 6: Final answer
    x = 192,825.98

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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.