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Finding the Fourth Proportional to 398,809.64, 598,330.28 and 128,932.01

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Solution

The fourth proportional to 398,809.64, 598,330.28 and 128,932.01 is: 193,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,809.64 : 598,330.28 = 128,932.01 : x
  2. Step 2: Convert to fraction form
    398,809.64/598,330.28 = 128,932.01/x
  3. Step 3: Cross multiply
    398,809.64x = 598,330.28 × 128,932.01
  4. Step 4: Simplify right side
    398,809.64x = 77,143,925,644.26
  5. Step 5: Solve for x
    x = 77,143,925,644.26/398,809.64
  6. Step 6: Final answer
    x = 193,435.46

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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.