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Finding the Fourth Proportional to 395,430.15, 545,692.76 and 214,141.52

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Solution

The fourth proportional to 395,430.15, 545,692.76 and 214,141.52 is: 295,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,430.15 : 545,692.76 = 214,141.52 : x
  2. Step 2: Convert to fraction form
    395,430.15/545,692.76 = 214,141.52/x
  3. Step 3: Cross multiply
    395,430.15x = 545,692.76 × 214,141.52
  4. Step 4: Simplify right side
    395,430.15x = 116,855,473,280.22
  5. Step 5: Solve for x
    x = 116,855,473,280.22/395,430.15
  6. Step 6: Final answer
    x = 295,514.83

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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.