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Finding the Fourth Proportional to 343,969.47, 474,721.56 and 208,004.37

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Solution

The fourth proportional to 343,969.47, 474,721.56 and 208,004.37 is: 287,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,969.47 : 474,721.56 = 208,004.37 : x
  2. Step 2: Convert to fraction form
    343,969.47/474,721.56 = 208,004.37/x
  3. Step 3: Cross multiply
    343,969.47x = 474,721.56 × 208,004.37
  4. Step 4: Simplify right side
    343,969.47x = 98,744,159,013.22
  5. Step 5: Solve for x
    x = 98,744,159,013.22/343,969.47
  6. Step 6: Final answer
    x = 287,072.45

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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.