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Finding the Fourth Proportional to 409,361.52, 614,064.12 and 128,900.64

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Solution

The fourth proportional to 409,361.52, 614,064.12 and 128,900.64 is: 193,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,361.52 : 614,064.12 = 128,900.64 : x
  2. Step 2: Convert to fraction form
    409,361.52/614,064.12 = 128,900.64/x
  3. Step 3: Cross multiply
    409,361.52x = 614,064.12 × 128,900.64
  4. Step 4: Simplify right side
    409,361.52x = 79,153,258,069.04
  5. Step 5: Solve for x
    x = 79,153,258,069.04/409,361.52
  6. Step 6: Final answer
    x = 193,357.84

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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.