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Finding the Fourth Proportional to 257,646.41, 386,075.48 and 137,720.42

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Solution

The fourth proportional to 257,646.41, 386,075.48 and 137,720.42 is: 206,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,646.41 : 386,075.48 = 137,720.42 : x
  2. Step 2: Convert to fraction form
    257,646.41/386,075.48 = 137,720.42/x
  3. Step 3: Cross multiply
    257,646.41x = 386,075.48 × 137,720.42
  4. Step 4: Simplify right side
    257,646.41x = 53,170,476,086.11
  5. Step 5: Solve for x
    x = 53,170,476,086.11/257,646.41
  6. Step 6: Final answer
    x = 206,369.95

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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.