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Finding the Fourth Proportional to 280,316.74, 420,530.50 and 102,825.40

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Solution

The fourth proportional to 280,316.74, 420,530.50 and 102,825.40 is: 154,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,316.74 : 420,530.50 = 102,825.40 : x
  2. Step 2: Convert to fraction form
    280,316.74/420,530.50 = 102,825.40/x
  3. Step 3: Cross multiply
    280,316.74x = 420,530.50 × 102,825.40
  4. Step 4: Simplify right side
    280,316.74x = 43,241,216,874.70
  5. Step 5: Solve for x
    x = 43,241,216,874.70/280,316.74
  6. Step 6: Final answer
    x = 154,258.42

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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.