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Finding the Fourth Proportional to 208,614, 310,237.32 and 201,971.22

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Solution

The fourth proportional to 208,614, 310,237.32 and 201,971.22 is: 300,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,614 : 310,237.32 = 201,971.22 : x
  2. Step 2: Convert to fraction form
    208,614/310,237.32 = 201,971.22/x
  3. Step 3: Cross multiply
    208,614x = 310,237.32 × 201,971.22
  4. Step 4: Simplify right side
    208,614x = 62,659,010,009.93
  5. Step 5: Solve for x
    x = 62,659,010,009.93/208,614
  6. Step 6: Final answer
    x = 300,358.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.