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Finding the Fourth Proportional to 368,940.78, 509,050.74 and 207,763.74

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Solution

The fourth proportional to 368,940.78, 509,050.74 and 207,763.74 is: 286,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,940.78 : 509,050.74 = 207,763.74 : x
  2. Step 2: Convert to fraction form
    368,940.78/509,050.74 = 207,763.74/x
  3. Step 3: Cross multiply
    368,940.78x = 509,050.74 × 207,763.74
  4. Step 4: Simplify right side
    368,940.78x = 105,762,285,592.17
  5. Step 5: Solve for x
    x = 105,762,285,592.17/368,940.78
  6. Step 6: Final answer
    x = 286,664.67

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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.