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Finding the Fourth Proportional to 285,334.56, 428,073 and 85,658.64

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Solution

The fourth proportional to 285,334.56, 428,073 and 85,658.64 is: 128,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,334.56 : 428,073 = 85,658.64 : x
  2. Step 2: Convert to fraction form
    285,334.56/428,073 = 85,658.64/x
  3. Step 3: Cross multiply
    285,334.56x = 428,073 × 85,658.64
  4. Step 4: Simplify right side
    285,334.56x = 36,668,151,000.72
  5. Step 5: Solve for x
    x = 36,668,151,000.72/285,334.56
  6. Step 6: Final answer
    x = 128,509.32

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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.