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Finding the Fourth Proportional to 553,622.90, 763,999.59 and 298,974.07

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Solution

The fourth proportional to 553,622.90, 763,999.59 and 298,974.07 is: 412,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,622.90 : 763,999.59 = 298,974.07 : x
  2. Step 2: Convert to fraction form
    553,622.90/763,999.59 = 298,974.07/x
  3. Step 3: Cross multiply
    553,622.90x = 763,999.59 × 298,974.07
  4. Step 4: Simplify right side
    553,622.90x = 228,416,066,900.63
  5. Step 5: Solve for x
    x = 228,416,066,900.63/553,622.90
  6. Step 6: Final answer
    x = 412,584.21

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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.