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Finding the Fourth Proportional to 553,638.11, 764,020.56 and 298,989.28

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Solution

The fourth proportional to 553,638.11, 764,020.56 and 298,989.28 is: 412,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,638.11 : 764,020.56 = 298,989.28 : x
  2. Step 2: Convert to fraction form
    553,638.11/764,020.56 = 298,989.28/x
  3. Step 3: Cross multiply
    553,638.11x = 764,020.56 × 298,989.28
  4. Step 4: Simplify right side
    553,638.11x = 228,433,953,319.49
  5. Step 5: Solve for x
    x = 228,433,953,319.49/553,638.11
  6. Step 6: Final answer
    x = 412,605.18

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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.