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Finding the Fourth Proportional to 280,153.60, 419,574.30 and 213,231.40

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Solution

The fourth proportional to 280,153.60, 419,574.30 and 213,231.40 is: 319,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,153.60 : 419,574.30 = 213,231.40 : x
  2. Step 2: Convert to fraction form
    280,153.60/419,574.30 = 213,231.40/x
  3. Step 3: Cross multiply
    280,153.60x = 419,574.30 × 213,231.40
  4. Step 4: Simplify right side
    280,153.60x = 89,466,415,393.02
  5. Step 5: Solve for x
    x = 89,466,415,393.02/280,153.60
  6. Step 6: Final answer
    x = 319,347.73

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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.