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Finding the Fourth Proportional to 395,428.67, 545,692.08 and 214,140.89

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Solution

The fourth proportional to 395,428.67, 545,692.08 and 214,140.89 is: 295,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,428.67 : 545,692.08 = 214,140.89 : x
  2. Step 2: Convert to fraction form
    395,428.67/545,692.08 = 214,140.89/x
  3. Step 3: Cross multiply
    395,428.67x = 545,692.08 × 214,140.89
  4. Step 4: Simplify right side
    395,428.67x = 116,854,984,948.69
  5. Step 5: Solve for x
    x = 116,854,984,948.69/395,428.67
  6. Step 6: Final answer
    x = 295,514.70

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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.