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Finding the Fourth Proportional to 386,259.84, 533,028.48 and 216,504.96

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Solution

The fourth proportional to 386,259.84, 533,028.48 and 216,504.96 is: 298,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,259.84 : 533,028.48 = 216,504.96 : x
  2. Step 2: Convert to fraction form
    386,259.84/533,028.48 = 216,504.96/x
  3. Step 3: Cross multiply
    386,259.84x = 533,028.48 × 216,504.96
  4. Step 4: Simplify right side
    386,259.84x = 115,403,309,741.26
  5. Step 5: Solve for x
    x = 115,403,309,741.26/386,259.84
  6. Step 6: Final answer
    x = 298,771.18

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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.