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Finding the Fourth Proportional to 282,411.37, 389,716.02 and 153,344.78

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Solution

The fourth proportional to 282,411.37, 389,716.02 and 153,344.78 is: 211,609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,411.37 : 389,716.02 = 153,344.78 : x
  2. Step 2: Convert to fraction form
    282,411.37/389,716.02 = 153,344.78/x
  3. Step 3: Cross multiply
    282,411.37x = 389,716.02 × 153,344.78
  4. Step 4: Simplify right side
    282,411.37x = 59,760,918,323.67
  5. Step 5: Solve for x
    x = 59,760,918,323.67/282,411.37
  6. Step 6: Final answer
    x = 211,609.46

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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.