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Finding the Fourth Proportional to 281,762.64, 388,828.22 and 154,438.47

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Solution

The fourth proportional to 281,762.64, 388,828.22 and 154,438.47 is: 213,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,762.64 : 388,828.22 = 154,438.47 : x
  2. Step 2: Convert to fraction form
    281,762.64/388,828.22 = 154,438.47/x
  3. Step 3: Cross multiply
    281,762.64x = 388,828.22 × 154,438.47
  4. Step 4: Simplify right side
    281,762.64x = 60,050,034,617.43
  5. Step 5: Solve for x
    x = 60,050,034,617.43/281,762.64
  6. Step 6: Final answer
    x = 213,122.77

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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.