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Finding the Fourth Proportional to 282,369.78, 421,063.79 and 243,178.74

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Solution

The fourth proportional to 282,369.78, 421,063.79 and 243,178.74 is: 362,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,369.78 : 421,063.79 = 243,178.74 : x
  2. Step 2: Convert to fraction form
    282,369.78/421,063.79 = 243,178.74/x
  3. Step 3: Cross multiply
    282,369.78x = 421,063.79 × 243,178.74
  4. Step 4: Simplify right side
    282,369.78x = 102,393,760,695.93
  5. Step 5: Solve for x
    x = 102,393,760,695.93/282,369.78
  6. Step 6: Final answer
    x = 362,622.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.