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Finding the Fourth Proportional to 280,277.72, 420,584.70 and 102,802.67

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Solution

The fourth proportional to 280,277.72, 420,584.70 and 102,802.67 is: 154,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,277.72 : 420,584.70 = 102,802.67 : x
  2. Step 2: Convert to fraction form
    280,277.72/420,584.70 = 102,802.67/x
  3. Step 3: Cross multiply
    280,277.72x = 420,584.70 × 102,802.67
  4. Step 4: Simplify right side
    280,277.72x = 43,237,229,980.93
  5. Step 5: Solve for x
    x = 43,237,229,980.93/280,277.72
  6. Step 6: Final answer
    x = 154,265.67

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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.