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Finding the Fourth Proportional to 486,108, 729,125.28 and 170,586

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Solution

The fourth proportional to 486,108, 729,125.28 and 170,586 is: 255,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,108 : 729,125.28 = 170,586 : x
  2. Step 2: Convert to fraction form
    486,108/729,125.28 = 170,586/x
  3. Step 3: Cross multiply
    486,108x = 729,125.28 × 170,586
  4. Step 4: Simplify right side
    486,108x = 124,378,565,014.08
  5. Step 5: Solve for x
    x = 124,378,565,014.08/486,108
  6. Step 6: Final answer
    x = 255,866.11

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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.