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Finding the Fourth Proportional to 282,047.80, 422,918.10 and 115,647.80

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Solution

The fourth proportional to 282,047.80, 422,918.10 and 115,647.80 is: 173,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,047.80 : 422,918.10 = 115,647.80 : x
  2. Step 2: Convert to fraction form
    282,047.80/422,918.10 = 115,647.80/x
  3. Step 3: Cross multiply
    282,047.80x = 422,918.10 × 115,647.80
  4. Step 4: Simplify right side
    282,047.80x = 48,909,547,845.18
  5. Step 5: Solve for x
    x = 48,909,547,845.18/282,047.80
  6. Step 6: Final answer
    x = 173,408.72

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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.