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Finding the Fourth Proportional to 280,875.60, 419,725.80 and 202,143.60

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Solution

The fourth proportional to 280,875.60, 419,725.80 and 202,143.60 is: 302,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,875.60 : 419,725.80 = 202,143.60 : x
  2. Step 2: Convert to fraction form
    280,875.60/419,725.80 = 202,143.60/x
  3. Step 3: Cross multiply
    280,875.60x = 419,725.80 × 202,143.60
  4. Step 4: Simplify right side
    280,875.60x = 84,844,884,224.88
  5. Step 5: Solve for x
    x = 84,844,884,224.88/280,875.60
  6. Step 6: Final answer
    x = 302,072.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.