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Finding the Fourth Proportional to 281,647.10, 388,673.16 and 154,322.66

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Solution

The fourth proportional to 281,647.10, 388,673.16 and 154,322.66 is: 212,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,647.10 : 388,673.16 = 154,322.66 : x
  2. Step 2: Convert to fraction form
    281,647.10/388,673.16 = 154,322.66/x
  3. Step 3: Cross multiply
    281,647.10x = 388,673.16 × 154,322.66
  4. Step 4: Simplify right side
    281,647.10x = 59,981,075,921.81
  5. Step 5: Solve for x
    x = 59,981,075,921.81/281,647.10
  6. Step 6: Final answer
    x = 212,965.36

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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.