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Finding the Fourth Proportional to 281,502.74, 388,474.83 and 152,441.27

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Solution

The fourth proportional to 281,502.74, 388,474.83 and 152,441.27 is: 210,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,502.74 : 388,474.83 = 152,441.27 : x
  2. Step 2: Convert to fraction form
    281,502.74/388,474.83 = 152,441.27/x
  3. Step 3: Cross multiply
    281,502.74x = 388,474.83 × 152,441.27
  4. Step 4: Simplify right side
    281,502.74x = 59,219,595,962.64
  5. Step 5: Solve for x
    x = 59,219,595,962.64/281,502.74
  6. Step 6: Final answer
    x = 210,369.52

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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.