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Finding the Fourth Proportional to 395,420.90, 545,681.22 and 214,133.02

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Solution

The fourth proportional to 395,420.90, 545,681.22 and 214,133.02 is: 295,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,420.90 : 545,681.22 = 214,133.02 : x
  2. Step 2: Convert to fraction form
    395,420.90/545,681.22 = 214,133.02/x
  3. Step 3: Cross multiply
    395,420.90x = 545,681.22 × 214,133.02
  4. Step 4: Simplify right side
    395,420.90x = 116,848,367,595.88
  5. Step 5: Solve for x
    x = 116,848,367,595.88/395,420.90
  6. Step 6: Final answer
    x = 295,503.77

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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.