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Finding the Fourth Proportional to 395,095.47, 545,231.76 and 213,807.42

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Solution

The fourth proportional to 395,095.47, 545,231.76 and 213,807.42 is: 295,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,095.47 : 545,231.76 = 213,807.42 : x
  2. Step 2: Convert to fraction form
    395,095.47/545,231.76 = 213,807.42/x
  3. Step 3: Cross multiply
    395,095.47x = 545,231.76 × 213,807.42
  4. Step 4: Simplify right side
    395,095.47x = 116,574,595,907.66
  5. Step 5: Solve for x
    x = 116,574,595,907.66/395,095.47
  6. Step 6: Final answer
    x = 295,054.25

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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.