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Finding the Fourth Proportional to 235,474.63, 325,810.69 and 205,322.78

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Solution

The fourth proportional to 235,474.63, 325,810.69 and 205,322.78 is: 284,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,474.63 : 325,810.69 = 205,322.78 : x
  2. Step 2: Convert to fraction form
    235,474.63/325,810.69 = 205,322.78/x
  3. Step 3: Cross multiply
    235,474.63x = 325,810.69 × 205,322.78
  4. Step 4: Simplify right side
    235,474.63x = 66,896,356,925.74
  5. Step 5: Solve for x
    x = 66,896,356,925.74/235,474.63
  6. Step 6: Final answer
    x = 284,091.57

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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.