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Finding the Fourth Proportional to 386,374.80, 533,146.42 and 214,290.70

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Solution

The fourth proportional to 386,374.80, 533,146.42 and 214,290.70 is: 295,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,374.80 : 533,146.42 = 214,290.70 : x
  2. Step 2: Convert to fraction form
    386,374.80/533,146.42 = 214,290.70/x
  3. Step 3: Cross multiply
    386,374.80x = 533,146.42 × 214,290.70
  4. Step 4: Simplify right side
    386,374.80x = 114,248,319,544.29
  5. Step 5: Solve for x
    x = 114,248,319,544.29/386,374.80
  6. Step 6: Final answer
    x = 295,692.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.