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Finding the Fourth Proportional to 281,756.16, 388,821.18 and 154,431.45

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Solution

The fourth proportional to 281,756.16, 388,821.18 and 154,431.45 is: 213,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,756.16 : 388,821.18 = 154,431.45 : x
  2. Step 2: Convert to fraction form
    281,756.16/388,821.18 = 154,431.45/x
  3. Step 3: Cross multiply
    281,756.16x = 388,821.18 × 154,431.45
  4. Step 4: Simplify right side
    281,756.16x = 60,046,218,618.11
  5. Step 5: Solve for x
    x = 60,046,218,618.11/281,756.16
  6. Step 6: Final answer
    x = 213,114.13

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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.