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Finding the Fourth Proportional to 310,738.08, 428,575.59 and 201,877.50

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Solution

The fourth proportional to 310,738.08, 428,575.59 and 201,877.50 is: 278,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,738.08 : 428,575.59 = 201,877.50 : x
  2. Step 2: Convert to fraction form
    310,738.08/428,575.59 = 201,877.50/x
  3. Step 3: Cross multiply
    310,738.08x = 428,575.59 × 201,877.50
  4. Step 4: Simplify right side
    310,738.08x = 86,519,768,670.23
  5. Step 5: Solve for x
    x = 86,519,768,670.23/310,738.08
  6. Step 6: Final answer
    x = 278,433.11

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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.