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Finding the Fourth Proportional to 383,881.49, 529,754.96 and 211,810.16

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Solution

The fourth proportional to 383,881.49, 529,754.96 and 211,810.16 is: 292,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,881.49 : 529,754.96 = 211,810.16 : x
  2. Step 2: Convert to fraction form
    383,881.49/529,754.96 = 211,810.16/x
  3. Step 3: Cross multiply
    383,881.49x = 529,754.96 × 211,810.16
  4. Step 4: Simplify right side
    383,881.49x = 112,207,482,573.63
  5. Step 5: Solve for x
    x = 112,207,482,573.63/383,881.49
  6. Step 6: Final answer
    x = 292,297.20

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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.