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Finding the Fourth Proportional to 400,866.34, 553,204.44 and 228,780.88

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Solution

The fourth proportional to 400,866.34, 553,204.44 and 228,780.88 is: 315,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,866.34 : 553,204.44 = 228,780.88 : x
  2. Step 2: Convert to fraction form
    400,866.34/553,204.44 = 228,780.88/x
  3. Step 3: Cross multiply
    400,866.34x = 553,204.44 × 228,780.88
  4. Step 4: Simplify right side
    400,866.34x = 126,562,598,603.11
  5. Step 5: Solve for x
    x = 126,562,598,603.11/400,866.34
  6. Step 6: Final answer
    x = 315,722.69

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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.