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Finding the Fourth Proportional to 402,971.73, 556,083.42 and 221,672.16

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Solution

The fourth proportional to 402,971.73, 556,083.42 and 221,672.16 is: 305,897.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,971.73 : 556,083.42 = 221,672.16 : x
  2. Step 2: Convert to fraction form
    402,971.73/556,083.42 = 221,672.16/x
  3. Step 3: Cross multiply
    402,971.73x = 556,083.42 × 221,672.16
  4. Step 4: Simplify right side
    402,971.73x = 123,268,212,851.59
  5. Step 5: Solve for x
    x = 123,268,212,851.59/402,971.73
  6. Step 6: Final answer
    x = 305,897.92

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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.