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Finding the Fourth Proportional to 395,095.49, 545,231.75 and 213,807.41

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Solution

The fourth proportional to 395,095.49, 545,231.75 and 213,807.41 is: 295,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,095.49 : 545,231.75 = 213,807.41 : x
  2. Step 2: Convert to fraction form
    395,095.49/545,231.75 = 213,807.41/x
  3. Step 3: Cross multiply
    395,095.49x = 545,231.75 × 213,807.41
  4. Step 4: Simplify right side
    395,095.49x = 116,574,584,522.07
  5. Step 5: Solve for x
    x = 116,574,584,522.07/395,095.49
  6. Step 6: Final answer
    x = 295,054.21

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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.