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Finding the Fourth Proportional to 280,343.34, 420,511.05 and 130,499.82

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Solution

The fourth proportional to 280,343.34, 420,511.05 and 130,499.82 is: 195,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,343.34 : 420,511.05 = 130,499.82 : x
  2. Step 2: Convert to fraction form
    280,343.34/420,511.05 = 130,499.82/x
  3. Step 3: Cross multiply
    280,343.34x = 420,511.05 × 130,499.82
  4. Step 4: Simplify right side
    280,343.34x = 54,876,616,333.01
  5. Step 5: Solve for x
    x = 54,876,616,333.01/280,343.34
  6. Step 6: Final answer
    x = 195,747.89

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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.