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Finding the Fourth Proportional to 397,730.26, 548,862 and 218,882.26

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Solution

The fourth proportional to 397,730.26, 548,862 and 218,882.26 is: 302,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,730.26 : 548,862 = 218,882.26 : x
  2. Step 2: Convert to fraction form
    397,730.26/548,862 = 218,882.26/x
  3. Step 3: Cross multiply
    397,730.26x = 548,862 × 218,882.26
  4. Step 4: Simplify right side
    397,730.26x = 120,136,154,988.12
  5. Step 5: Solve for x
    x = 120,136,154,988.12/397,730.26
  6. Step 6: Final answer
    x = 302,054.35

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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.