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Finding the Fourth Proportional to 285,523.40, 428,285.10 and 180,000.20

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Solution

The fourth proportional to 285,523.40, 428,285.10 and 180,000.20 is: 270,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,523.40 : 428,285.10 = 180,000.20 : x
  2. Step 2: Convert to fraction form
    285,523.40/428,285.10 = 180,000.20/x
  3. Step 3: Cross multiply
    285,523.40x = 428,285.10 × 180,000.20
  4. Step 4: Simplify right side
    285,523.40x = 77,091,403,657.02
  5. Step 5: Solve for x
    x = 77,091,403,657.02/285,523.40
  6. Step 6: Final answer
    x = 270,000.30

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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.