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Finding the Fourth Proportional to 232,453, 320,421.21 and 151,840.18

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Solution

The fourth proportional to 232,453, 320,421.21 and 151,840.18 is: 209,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,453 : 320,421.21 = 151,840.18 : x
  2. Step 2: Convert to fraction form
    232,453/320,421.21 = 151,840.18/x
  3. Step 3: Cross multiply
    232,453x = 320,421.21 × 151,840.18
  4. Step 4: Simplify right side
    232,453x = 48,652,814,202.22
  5. Step 5: Solve for x
    x = 48,652,814,202.22/232,453
  6. Step 6: Final answer
    x = 209,301.73

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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.