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Finding the Fourth Proportional to 385,172.88, 531,536.76 and 215,407.68

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Solution

The fourth proportional to 385,172.88, 531,536.76 and 215,407.68 is: 297,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,172.88 : 531,536.76 = 215,407.68 : x
  2. Step 2: Convert to fraction form
    385,172.88/531,536.76 = 215,407.68/x
  3. Step 3: Cross multiply
    385,172.88x = 531,536.76 × 215,407.68
  4. Step 4: Simplify right side
    385,172.88x = 114,497,100,306.32
  5. Step 5: Solve for x
    x = 114,497,100,306.32/385,172.88
  6. Step 6: Final answer
    x = 297,261.58

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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.