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Finding the Fourth Proportional to 397,634, 548,746.44 and 218,786

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Solution

The fourth proportional to 397,634, 548,746.44 and 218,786 is: 301,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,634 : 548,746.44 = 218,786 : x
  2. Step 2: Convert to fraction form
    397,634/548,746.44 = 218,786/x
  3. Step 3: Cross multiply
    397,634x = 548,746.44 × 218,786
  4. Step 4: Simplify right side
    397,634x = 120,058,038,621.84
  5. Step 5: Solve for x
    x = 120,058,038,621.84/397,634
  6. Step 6: Final answer
    x = 301,931.02

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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.