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Finding the Fourth Proportional to 388,820, 536,571.60 and 209,972

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Solution

The fourth proportional to 388,820, 536,571.60 and 209,972 is: 289,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,820 : 536,571.60 = 209,972 : x
  2. Step 2: Convert to fraction form
    388,820/536,571.60 = 209,972/x
  3. Step 3: Cross multiply
    388,820x = 536,571.60 × 209,972
  4. Step 4: Simplify right side
    388,820x = 112,665,011,995.20
  5. Step 5: Solve for x
    x = 112,665,011,995.20/388,820
  6. Step 6: Final answer
    x = 289,761.36

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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.