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Finding the Fourth Proportional to 395,637.74, 545,979.35 and 214,354.17

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Solution

The fourth proportional to 395,637.74, 545,979.35 and 214,354.17 is: 295,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,637.74 : 545,979.35 = 214,354.17 : x
  2. Step 2: Convert to fraction form
    395,637.74/545,979.35 = 214,354.17/x
  3. Step 3: Cross multiply
    395,637.74x = 545,979.35 × 214,354.17
  4. Step 4: Simplify right side
    395,637.74x = 117,032,950,406.39
  5. Step 5: Solve for x
    x = 117,032,950,406.39/395,637.74
  6. Step 6: Final answer
    x = 295,808.36

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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.