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Finding the Fourth Proportional to 397,803, 548,968.16 and 218,955

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Solution

The fourth proportional to 397,803, 548,968.16 and 218,955 is: 302,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,803 : 548,968.16 = 218,955 : x
  2. Step 2: Convert to fraction form
    397,803/548,968.16 = 218,955/x
  3. Step 3: Cross multiply
    397,803x = 548,968.16 × 218,955
  4. Step 4: Simplify right side
    397,803x = 120,199,323,472.80
  5. Step 5: Solve for x
    x = 120,199,323,472.80/397,803
  6. Step 6: Final answer
    x = 302,157.91

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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.