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Finding the Fourth Proportional to 280,460.63, 420,521.75 and 130,734.53

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Solution

The fourth proportional to 280,460.63, 420,521.75 and 130,734.53 is: 196,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,460.63 : 420,521.75 = 130,734.53 : x
  2. Step 2: Convert to fraction form
    280,460.63/420,521.75 = 130,734.53/x
  3. Step 3: Cross multiply
    280,460.63x = 420,521.75 × 130,734.53
  4. Step 4: Simplify right side
    280,460.63x = 54,976,710,584.75
  5. Step 5: Solve for x
    x = 54,976,710,584.75/280,460.63
  6. Step 6: Final answer
    x = 196,022.92

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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.