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Finding the Fourth Proportional to 282,361.74, 389,659.77 and 153,300.36

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Solution

The fourth proportional to 282,361.74, 389,659.77 and 153,300.36 is: 211,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,361.74 : 389,659.77 = 153,300.36 : x
  2. Step 2: Convert to fraction form
    282,361.74/389,659.77 = 153,300.36/x
  3. Step 3: Cross multiply
    282,361.74x = 389,659.77 × 153,300.36
  4. Step 4: Simplify right side
    282,361.74x = 59,734,983,018.52
  5. Step 5: Solve for x
    x = 59,734,983,018.52/282,361.74
  6. Step 6: Final answer
    x = 211,554.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.