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Finding the Fourth Proportional to 320,598, 480,897 and 133,609.50

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Solution

The fourth proportional to 320,598, 480,897 and 133,609.50 is: 200,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,598 : 480,897 = 133,609.50 : x
  2. Step 2: Convert to fraction form
    320,598/480,897 = 133,609.50/x
  3. Step 3: Cross multiply
    320,598x = 480,897 × 133,609.50
  4. Step 4: Simplify right side
    320,598x = 64,252,407,721.50
  5. Step 5: Solve for x
    x = 64,252,407,721.50/320,598
  6. Step 6: Final answer
    x = 200,414.25

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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.