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Finding the Fourth Proportional to 395,091.05, 545,225.64 and 213,802.98

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Solution

The fourth proportional to 395,091.05, 545,225.64 and 213,802.98 is: 295,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,091.05 : 545,225.64 = 213,802.98 : x
  2. Step 2: Convert to fraction form
    395,091.05/545,225.64 = 213,802.98/x
  3. Step 3: Cross multiply
    395,091.05x = 545,225.64 × 213,802.98
  4. Step 4: Simplify right side
    395,091.05x = 116,570,864,960.69
  5. Step 5: Solve for x
    x = 116,570,864,960.69/395,091.05
  6. Step 6: Final answer
    x = 295,048.11

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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.