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Finding the Fourth Proportional to 203,208.51, 304,999.89 and 103,440

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Solution

The fourth proportional to 203,208.51, 304,999.89 and 103,440 is: 155,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.51 : 304,999.89 = 103,440 : x
  2. Step 2: Convert to fraction form
    203,208.51/304,999.89 = 103,440/x
  3. Step 3: Cross multiply
    203,208.51x = 304,999.89 × 103,440
  4. Step 4: Simplify right side
    203,208.51x = 31,549,188,621.60
  5. Step 5: Solve for x
    x = 31,549,188,621.60/203,208.51
  6. Step 6: Final answer
    x = 155,255.25

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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.