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Finding the Fourth Proportional to 280,602.08, 420,857.76 and 103,065.20

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Solution

The fourth proportional to 280,602.08, 420,857.76 and 103,065.20 is: 154,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,602.08 : 420,857.76 = 103,065.20 : x
  2. Step 2: Convert to fraction form
    280,602.08/420,857.76 = 103,065.20/x
  3. Step 3: Cross multiply
    280,602.08x = 420,857.76 × 103,065.20
  4. Step 4: Simplify right side
    280,602.08x = 43,375,789,205.95
  5. Step 5: Solve for x
    x = 43,375,789,205.95/280,602.08
  6. Step 6: Final answer
    x = 154,581.14

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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.