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Finding the Fourth Proportional to 317,667.50, 438,381.16 and 183,531.50

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Solution

The fourth proportional to 317,667.50, 438,381.16 and 183,531.50 is: 253,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,667.50 : 438,381.16 = 183,531.50 : x
  2. Step 2: Convert to fraction form
    317,667.50/438,381.16 = 183,531.50/x
  3. Step 3: Cross multiply
    317,667.50x = 438,381.16 × 183,531.50
  4. Step 4: Simplify right side
    317,667.50x = 80,456,751,866.54
  5. Step 5: Solve for x
    x = 80,456,751,866.54/317,667.50
  6. Step 6: Final answer
    x = 253,273.48

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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.