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Finding the Fourth Proportional to 205,969.70, 288,772.30 and 205,969.70

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Solution

The fourth proportional to 205,969.70, 288,772.30 and 205,969.70 is: 288,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,969.70 : 288,772.30 = 205,969.70 : x
  2. Step 2: Convert to fraction form
    205,969.70/288,772.30 = 205,969.70/x
  3. Step 3: Cross multiply
    205,969.70x = 288,772.30 × 205,969.70
  4. Step 4: Simplify right side
    205,969.70x = 59,478,343,999.31
  5. Step 5: Solve for x
    x = 59,478,343,999.31/205,969.70
  6. Step 6: Final answer
    x = 288,772.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.