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Finding the Fourth Proportional to 426,310.16, 639,475.50 and 201,775.28

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Solution

The fourth proportional to 426,310.16, 639,475.50 and 201,775.28 is: 302,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,310.16 : 639,475.50 = 201,775.28 : x
  2. Step 2: Convert to fraction form
    426,310.16/639,475.50 = 201,775.28/x
  3. Step 3: Cross multiply
    426,310.16x = 639,475.50 × 201,775.28
  4. Step 4: Simplify right side
    426,310.16x = 129,030,348,065.64
  5. Step 5: Solve for x
    x = 129,030,348,065.64/426,310.16
  6. Step 6: Final answer
    x = 302,667.78

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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.