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Finding the Fourth Proportional to 372,196, 513,411.60 and 221,284

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Solution

The fourth proportional to 372,196, 513,411.60 and 221,284 is: 305,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,196 : 513,411.60 = 221,284 : x
  2. Step 2: Convert to fraction form
    372,196/513,411.60 = 221,284/x
  3. Step 3: Cross multiply
    372,196x = 513,411.60 × 221,284
  4. Step 4: Simplify right side
    372,196x = 113,609,772,494.40
  5. Step 5: Solve for x
    x = 113,609,772,494.40/372,196
  6. Step 6: Final answer
    x = 305,241.79

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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.