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Finding the Fourth Proportional to 281,448.65, 388,399.72 and 152,388.52

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Solution

The fourth proportional to 281,448.65, 388,399.72 and 152,388.52 is: 210,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,448.65 : 388,399.72 = 152,388.52 : x
  2. Step 2: Convert to fraction form
    281,448.65/388,399.72 = 152,388.52/x
  3. Step 3: Cross multiply
    281,448.65x = 388,399.72 × 152,388.52
  4. Step 4: Simplify right side
    281,448.65x = 59,187,656,557.22
  5. Step 5: Solve for x
    x = 59,187,656,557.22/281,448.65
  6. Step 6: Final answer
    x = 210,296.47

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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.