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Finding the Fourth Proportional to 486,373, 729,562.74 and 153,949

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Solution

The fourth proportional to 486,373, 729,562.74 and 153,949 is: 230,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,373 : 729,562.74 = 153,949 : x
  2. Step 2: Convert to fraction form
    486,373/729,562.74 = 153,949/x
  3. Step 3: Cross multiply
    486,373x = 729,562.74 × 153,949
  4. Step 4: Simplify right side
    486,373x = 112,315,454,260.26
  5. Step 5: Solve for x
    x = 112,315,454,260.26/486,373
  6. Step 6: Final answer
    x = 230,924.53

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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.