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Finding the Fourth Proportional to 280,342.80, 420,611.40 and 122,684.40

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Solution

The fourth proportional to 280,342.80, 420,611.40 and 122,684.40 is: 184,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,342.80 : 420,611.40 = 122,684.40 : x
  2. Step 2: Convert to fraction form
    280,342.80/420,611.40 = 122,684.40/x
  3. Step 3: Cross multiply
    280,342.80x = 420,611.40 × 122,684.40
  4. Step 4: Simplify right side
    280,342.80x = 51,602,457,242.16
  5. Step 5: Solve for x
    x = 51,602,457,242.16/280,342.80
  6. Step 6: Final answer
    x = 184,069.14

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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.