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Finding the Fourth Proportional to 282,137.29, 422,713.80 and 235,054.81

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Solution

The fourth proportional to 282,137.29, 422,713.80 and 235,054.81 is: 352,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,137.29 : 422,713.80 = 235,054.81 : x
  2. Step 2: Convert to fraction form
    282,137.29/422,713.80 = 235,054.81/x
  3. Step 3: Cross multiply
    282,137.29x = 422,713.80 × 235,054.81
  4. Step 4: Simplify right side
    282,137.29x = 99,360,911,943.38
  5. Step 5: Solve for x
    x = 99,360,911,943.38/282,137.29
  6. Step 6: Final answer
    x = 352,172.21

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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.