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Finding the Fourth Proportional to 395,095.78, 545,232.17 and 213,807.69

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Solution

The fourth proportional to 395,095.78, 545,232.17 and 213,807.69 is: 295,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,095.78 : 545,232.17 = 213,807.69 : x
  2. Step 2: Convert to fraction form
    395,095.78/545,232.17 = 213,807.69/x
  3. Step 3: Cross multiply
    395,095.78x = 545,232.17 × 213,807.69
  4. Step 4: Simplify right side
    395,095.78x = 116,574,831,315.91
  5. Step 5: Solve for x
    x = 116,574,831,315.91/395,095.78
  6. Step 6: Final answer
    x = 295,054.61

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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.