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Finding the Fourth Proportional to 281,545.94, 388,533.56 and 154,223.66

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Solution

The fourth proportional to 281,545.94, 388,533.56 and 154,223.66 is: 212,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,545.94 : 388,533.56 = 154,223.66 : x
  2. Step 2: Convert to fraction form
    281,545.94/388,533.56 = 154,223.66/x
  3. Step 3: Cross multiply
    281,545.94x = 388,533.56 × 154,223.66
  4. Step 4: Simplify right side
    281,545.94x = 59,921,064,942.24
  5. Step 5: Solve for x
    x = 59,921,064,942.24/281,545.94
  6. Step 6: Final answer
    x = 212,828.73

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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.