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Finding the Fourth Proportional to 550,071.86, 824,940.05 and 380,384.51

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Solution

The fourth proportional to 550,071.86, 824,940.05 and 380,384.51 is: 570,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,071.86 : 824,940.05 = 380,384.51 : x
  2. Step 2: Convert to fraction form
    550,071.86/824,940.05 = 380,384.51/x
  3. Step 3: Cross multiply
    550,071.86x = 824,940.05 × 380,384.51
  4. Step 4: Simplify right side
    550,071.86x = 313,794,410,672.00
  5. Step 5: Solve for x
    x = 313,794,410,672.00/550,071.86
  6. Step 6: Final answer
    x = 570,460.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.