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Finding the Fourth Proportional to 348,129, 480,420.90 and 189,153

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Solution

The fourth proportional to 348,129, 480,420.90 and 189,153 is: 261,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,129 : 480,420.90 = 189,153 : x
  2. Step 2: Convert to fraction form
    348,129/480,420.90 = 189,153/x
  3. Step 3: Cross multiply
    348,129x = 480,420.90 × 189,153
  4. Step 4: Simplify right side
    348,129x = 90,873,054,497.70
  5. Step 5: Solve for x
    x = 90,873,054,497.70/348,129
  6. Step 6: Final answer
    x = 261,032.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.