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Finding the Fourth Proportional to 395,095.98, 545,232.44 and 213,807.90

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Solution

The fourth proportional to 395,095.98, 545,232.44 and 213,807.90 is: 295,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,095.98 : 545,232.44 = 213,807.90 : x
  2. Step 2: Convert to fraction form
    395,095.98/545,232.44 = 213,807.90/x
  3. Step 3: Cross multiply
    395,095.98x = 545,232.44 × 213,807.90
  4. Step 4: Simplify right side
    395,095.98x = 116,575,003,008.28
  5. Step 5: Solve for x
    x = 116,575,003,008.28/395,095.98
  6. Step 6: Final answer
    x = 295,054.90

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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.