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Finding the Fourth Proportional to 268,218, 401,714.64 and 128,075.04

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Solution

The fourth proportional to 268,218, 401,714.64 and 128,075.04 is: 191,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,218 : 401,714.64 = 128,075.04 : x
  2. Step 2: Convert to fraction form
    268,218/401,714.64 = 128,075.04/x
  3. Step 3: Cross multiply
    268,218x = 401,714.64 × 128,075.04
  4. Step 4: Simplify right side
    268,218x = 51,449,618,586.59
  5. Step 5: Solve for x
    x = 51,449,618,586.59/268,218
  6. Step 6: Final answer
    x = 191,820.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.