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Finding the Fourth Proportional to 395,401.52, 545,653.10 and 214,113.45

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Solution

The fourth proportional to 395,401.52, 545,653.10 and 214,113.45 is: 295,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,401.52 : 545,653.10 = 214,113.45 : x
  2. Step 2: Convert to fraction form
    395,401.52/545,653.10 = 214,113.45/x
  3. Step 3: Cross multiply
    395,401.52x = 545,653.10 × 214,113.45
  4. Step 4: Simplify right side
    395,401.52x = 116,831,666,673.63
  5. Step 5: Solve for x
    x = 116,831,666,673.63/395,401.52
  6. Step 6: Final answer
    x = 295,476.02

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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.