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Finding the Fourth Proportional to 291,283.50, 401,980.95 and 178,084.38

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Solution

The fourth proportional to 291,283.50, 401,980.95 and 178,084.38 is: 245,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,283.50 : 401,980.95 = 178,084.38 : x
  2. Step 2: Convert to fraction form
    291,283.50/401,980.95 = 178,084.38/x
  3. Step 3: Cross multiply
    291,283.50x = 401,980.95 × 178,084.38
  4. Step 4: Simplify right side
    291,283.50x = 71,586,528,252.56
  5. Step 5: Solve for x
    x = 71,586,528,252.56/291,283.50
  6. Step 6: Final answer
    x = 245,762.39

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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.