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Finding the Fourth Proportional to 258,461.79, 387,546.88 and 100,509.36

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Solution

The fourth proportional to 258,461.79, 387,546.88 and 100,509.36 is: 150,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,461.79 : 387,546.88 = 100,509.36 : x
  2. Step 2: Convert to fraction form
    258,461.79/387,546.88 = 100,509.36/x
  3. Step 3: Cross multiply
    258,461.79x = 387,546.88 × 100,509.36
  4. Step 4: Simplify right side
    258,461.79x = 38,952,086,438.52
  5. Step 5: Solve for x
    x = 38,952,086,438.52/258,461.79
  6. Step 6: Final answer
    x = 150,707.33

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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.