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Finding the Fourth Proportional to 385,291.88, 531,742.80 and 221,954.02

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Solution

The fourth proportional to 385,291.88, 531,742.80 and 221,954.02 is: 306,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,291.88 : 531,742.80 = 221,954.02 : x
  2. Step 2: Convert to fraction form
    385,291.88/531,742.80 = 221,954.02/x
  3. Step 3: Cross multiply
    385,291.88x = 531,742.80 × 221,954.02
  4. Step 4: Simplify right side
    385,291.88x = 118,022,452,066.06
  5. Step 5: Solve for x
    x = 118,022,452,066.06/385,291.88
  6. Step 6: Final answer
    x = 306,319.59

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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.