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Finding the Fourth Proportional to 281,868.32, 389,102.32 and 197,317.28

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Solution

The fourth proportional to 281,868.32, 389,102.32 and 197,317.28 is: 272,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,868.32 : 389,102.32 = 197,317.28 : x
  2. Step 2: Convert to fraction form
    281,868.32/389,102.32 = 197,317.28/x
  3. Step 3: Cross multiply
    281,868.32x = 389,102.32 × 197,317.28
  4. Step 4: Simplify right side
    281,868.32x = 76,776,611,424.09
  5. Step 5: Solve for x
    x = 76,776,611,424.09/281,868.32
  6. Step 6: Final answer
    x = 272,384.68

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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.