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Finding the Fourth Proportional to 303,074.06, 418,421.40 and 269,447

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Solution

The fourth proportional to 303,074.06, 418,421.40 and 269,447 is: 371,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,074.06 : 418,421.40 = 269,447 : x
  2. Step 2: Convert to fraction form
    303,074.06/418,421.40 = 269,447/x
  3. Step 3: Cross multiply
    303,074.06x = 418,421.40 × 269,447
  4. Step 4: Simplify right side
    303,074.06x = 112,742,390,965.80
  5. Step 5: Solve for x
    x = 112,742,390,965.80/303,074.06
  6. Step 6: Final answer
    x = 371,996.17

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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.