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Finding the Fourth Proportional to 553,638.24, 764,020.74 and 298,989.40

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Solution

The fourth proportional to 553,638.24, 764,020.74 and 298,989.40 is: 412,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,638.24 : 764,020.74 = 298,989.40 : x
  2. Step 2: Convert to fraction form
    553,638.24/764,020.74 = 298,989.40/x
  3. Step 3: Cross multiply
    553,638.24x = 764,020.74 × 298,989.40
  4. Step 4: Simplify right side
    553,638.24x = 228,434,102,640.16
  5. Step 5: Solve for x
    x = 228,434,102,640.16/553,638.24
  6. Step 6: Final answer
    x = 412,605.36

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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.