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Finding the Fourth Proportional to 280,602.28, 420,890.73 and 103,096.32

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Solution

The fourth proportional to 280,602.28, 420,890.73 and 103,096.32 is: 154,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,602.28 : 420,890.73 = 103,096.32 : x
  2. Step 2: Convert to fraction form
    280,602.28/420,890.73 = 103,096.32/x
  3. Step 3: Cross multiply
    280,602.28x = 420,890.73 × 103,096.32
  4. Step 4: Simplify right side
    280,602.28x = 43,392,285,385.11
  5. Step 5: Solve for x
    x = 43,392,285,385.11/280,602.28
  6. Step 6: Final answer
    x = 154,639.82

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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.