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Finding the Fourth Proportional to 409,060.40, 613,611.40 and 128,580.40

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Solution

The fourth proportional to 409,060.40, 613,611.40 and 128,580.40 is: 192,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,060.40 : 613,611.40 = 128,580.40 : x
  2. Step 2: Convert to fraction form
    409,060.40/613,611.40 = 128,580.40/x
  3. Step 3: Cross multiply
    409,060.40x = 613,611.40 × 128,580.40
  4. Step 4: Simplify right side
    409,060.40x = 78,898,399,256.56
  5. Step 5: Solve for x
    x = 78,898,399,256.56/409,060.40
  6. Step 6: Final answer
    x = 192,877.14

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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.