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Finding the Fourth Proportional to 305,971.36, 459,136.84 and 128,464.72

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Solution

The fourth proportional to 305,971.36, 459,136.84 and 128,464.72 is: 192,772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,971.36 : 459,136.84 = 128,464.72 : x
  2. Step 2: Convert to fraction form
    305,971.36/459,136.84 = 128,464.72/x
  3. Step 3: Cross multiply
    305,971.36x = 459,136.84 × 128,464.72
  4. Step 4: Simplify right side
    305,971.36x = 58,982,885,592.28
  5. Step 5: Solve for x
    x = 58,982,885,592.28/305,971.36
  6. Step 6: Final answer
    x = 192,772.57

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1.5x scale

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.