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Finding the Fourth Proportional to 357,804.88, 493,739.89 and 210,614.11

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Solution

The fourth proportional to 357,804.88, 493,739.89 and 210,614.11 is: 290,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,804.88 : 493,739.89 = 210,614.11 : x
  2. Step 2: Convert to fraction form
    357,804.88/493,739.89 = 210,614.11/x
  3. Step 3: Cross multiply
    357,804.88x = 493,739.89 × 210,614.11
  4. Step 4: Simplify right side
    357,804.88x = 103,988,585,742.96
  5. Step 5: Solve for x
    x = 103,988,585,742.96/357,804.88
  6. Step 6: Final answer
    x = 290,629.31

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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.