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Finding the Fourth Proportional to 280,370.80, 420,653.40 and 122,712.40

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Solution

The fourth proportional to 280,370.80, 420,653.40 and 122,712.40 is: 184,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,370.80 : 420,653.40 = 122,712.40 : x
  2. Step 2: Convert to fraction form
    280,370.80/420,653.40 = 122,712.40/x
  3. Step 3: Cross multiply
    280,370.80x = 420,653.40 × 122,712.40
  4. Step 4: Simplify right side
    280,370.80x = 51,619,388,282.16
  5. Step 5: Solve for x
    x = 51,619,388,282.16/280,370.80
  6. Step 6: Final answer
    x = 184,111.14

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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.