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Finding the Fourth Proportional to 486,085.78, 729,128.70 and 153,661.78

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Solution

The fourth proportional to 486,085.78, 729,128.70 and 153,661.78 is: 230,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,085.78 : 729,128.70 = 153,661.78 : x
  2. Step 2: Convert to fraction form
    486,085.78/729,128.70 = 153,661.78/x
  3. Step 3: Cross multiply
    486,085.78x = 729,128.70 × 153,661.78
  4. Step 4: Simplify right side
    486,085.78x = 112,039,213,891.09
  5. Step 5: Solve for x
    x = 112,039,213,891.09/486,085.78
  6. Step 6: Final answer
    x = 230,492.68

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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.