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Finding the Fourth Proportional to 357,133.01, 492,858.96 and 213,865.61

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Solution

The fourth proportional to 357,133.01, 492,858.96 and 213,865.61 is: 295,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,133.01 : 492,858.96 = 213,865.61 : x
  2. Step 2: Convert to fraction form
    357,133.01/492,858.96 = 213,865.61/x
  3. Step 3: Cross multiply
    357,133.01x = 492,858.96 × 213,865.61
  4. Step 4: Simplify right side
    357,133.01x = 105,405,582,124.37
  5. Step 5: Solve for x
    x = 105,405,582,124.37/357,133.01
  6. Step 6: Final answer
    x = 295,143.77

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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.