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Finding the Fourth Proportional to 282,328.30, 389,441.86 and 167,531.32

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Solution

The fourth proportional to 282,328.30, 389,441.86 and 167,531.32 is: 231,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,328.30 : 389,441.86 = 167,531.32 : x
  2. Step 2: Convert to fraction form
    282,328.30/389,441.86 = 167,531.32/x
  3. Step 3: Cross multiply
    282,328.30x = 389,441.86 × 167,531.32
  4. Step 4: Simplify right side
    282,328.30x = 65,243,708,869.06
  5. Step 5: Solve for x
    x = 65,243,708,869.06/282,328.30
  6. Step 6: Final answer
    x = 231,091.64

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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.