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Finding the Fourth Proportional to 280,004.60, 419,897.70 and 122,125.40

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Solution

The fourth proportional to 280,004.60, 419,897.70 and 122,125.40 is: 183,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,004.60 : 419,897.70 = 122,125.40 : x
  2. Step 2: Convert to fraction form
    280,004.60/419,897.70 = 122,125.40/x
  3. Step 3: Cross multiply
    280,004.60x = 419,897.70 × 122,125.40
  4. Step 4: Simplify right side
    280,004.60x = 51,280,174,571.58
  5. Step 5: Solve for x
    x = 51,280,174,571.58/280,004.60
  6. Step 6: Final answer
    x = 183,140.47

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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.