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Finding the Fourth Proportional to 258,203.80, 387,443.30 and 100,437.40

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Solution

The fourth proportional to 258,203.80, 387,443.30 and 100,437.40 is: 150,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,203.80 : 387,443.30 = 100,437.40 : x
  2. Step 2: Convert to fraction form
    258,203.80/387,443.30 = 100,437.40/x
  3. Step 3: Cross multiply
    258,203.80x = 387,443.30 × 100,437.40
  4. Step 4: Simplify right side
    258,203.80x = 38,913,797,699.42
  5. Step 5: Solve for x
    x = 38,913,797,699.42/258,203.80
  6. Step 6: Final answer
    x = 150,709.62

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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.