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Finding the Fourth Proportional to 259,297, 388,945.50 and 62,305

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Solution

The fourth proportional to 259,297, 388,945.50 and 62,305 is: 93,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,297 : 388,945.50 = 62,305 : x
  2. Step 2: Convert to fraction form
    259,297/388,945.50 = 62,305/x
  3. Step 3: Cross multiply
    259,297x = 388,945.50 × 62,305
  4. Step 4: Simplify right side
    259,297x = 24,233,249,377.50
  5. Step 5: Solve for x
    x = 24,233,249,377.50/259,297
  6. Step 6: Final answer
    x = 93,457.50

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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.