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Finding the Fourth Proportional to 495,978, 744,177.72 and 271,075.72

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Solution

The fourth proportional to 495,978, 744,177.72 and 271,075.72 is: 406,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,978 : 744,177.72 = 271,075.72 : x
  2. Step 2: Convert to fraction form
    495,978/744,177.72 = 271,075.72/x
  3. Step 3: Cross multiply
    495,978x = 744,177.72 × 271,075.72
  4. Step 4: Simplify right side
    495,978x = 201,728,511,256.96
  5. Step 5: Solve for x
    x = 201,728,511,256.96/495,978
  6. Step 6: Final answer
    x = 406,728.75

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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.