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Finding the Fourth Proportional to 409,072.60, 613,643.46 and 128,670.04

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Solution

The fourth proportional to 409,072.60, 613,643.46 and 128,670.04 is: 193,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,072.60 : 613,643.46 = 128,670.04 : x
  2. Step 2: Convert to fraction form
    409,072.60/613,643.46 = 128,670.04/x
  3. Step 3: Cross multiply
    409,072.60x = 613,643.46 × 128,670.04
  4. Step 4: Simplify right side
    409,072.60x = 78,957,528,543.94
  5. Step 5: Solve for x
    x = 78,957,528,543.94/409,072.60
  6. Step 6: Final answer
    x = 193,015.93

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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.