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Finding the Fourth Proportional to 286,266.30, 428,524.65 and 286,266.30

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Solution

The fourth proportional to 286,266.30, 428,524.65 and 286,266.30 is: 428,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266.30 : 428,524.65 = 286,266.30 : x
  2. Step 2: Convert to fraction form
    286,266.30/428,524.65 = 286,266.30/x
  3. Step 3: Cross multiply
    286,266.30x = 428,524.65 × 286,266.30
  4. Step 4: Simplify right side
    286,266.30x = 122,672,166,014.30
  5. Step 5: Solve for x
    x = 122,672,166,014.30/286,266.30
  6. Step 6: Final answer
    x = 428,524.65

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1.5x scale

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.