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Finding the Fourth Proportional to 258,043.59, 386,371.62 and 210,462.37

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Solution

The fourth proportional to 258,043.59, 386,371.62 and 210,462.37 is: 315,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,043.59 : 386,371.62 = 210,462.37 : x
  2. Step 2: Convert to fraction form
    258,043.59/386,371.62 = 210,462.37/x
  3. Step 3: Cross multiply
    258,043.59x = 386,371.62 × 210,462.37
  4. Step 4: Simplify right side
    258,043.59x = 81,316,685,880.01
  5. Step 5: Solve for x
    x = 81,316,685,880.01/258,043.59
  6. Step 6: Final answer
    x = 315,127.71

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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.