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Finding the Fourth Proportional to 397,661.60, 596,492.40 and 135,005.60

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Solution

The fourth proportional to 397,661.60, 596,492.40 and 135,005.60 is: 202,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,661.60 : 596,492.40 = 135,005.60 : x
  2. Step 2: Convert to fraction form
    397,661.60/596,492.40 = 135,005.60/x
  3. Step 3: Cross multiply
    397,661.60x = 596,492.40 × 135,005.60
  4. Step 4: Simplify right side
    397,661.60x = 80,529,814,357.44
  5. Step 5: Solve for x
    x = 80,529,814,357.44/397,661.60
  6. Step 6: Final answer
    x = 202,508.40

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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.