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Finding the Fourth Proportional to 397,628, 548,726.64 and 218,780

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Solution

The fourth proportional to 397,628, 548,726.64 and 218,780 is: 301,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,628 : 548,726.64 = 218,780 : x
  2. Step 2: Convert to fraction form
    397,628/548,726.64 = 218,780/x
  3. Step 3: Cross multiply
    397,628x = 548,726.64 × 218,780
  4. Step 4: Simplify right side
    397,628x = 120,050,414,299.20
  5. Step 5: Solve for x
    x = 120,050,414,299.20/397,628
  6. Step 6: Final answer
    x = 301,916.40

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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.