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Finding the Fourth Proportional to 280,898.56, 421,262.16 and 147,706.56

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Solution

The fourth proportional to 280,898.56, 421,262.16 and 147,706.56 is: 221,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,898.56 : 421,262.16 = 147,706.56 : x
  2. Step 2: Convert to fraction form
    280,898.56/421,262.16 = 147,706.56/x
  3. Step 3: Cross multiply
    280,898.56x = 421,262.16 × 147,706.56
  4. Step 4: Simplify right side
    280,898.56x = 62,223,184,511.77
  5. Step 5: Solve for x
    x = 62,223,184,511.77/280,898.56
  6. Step 6: Final answer
    x = 221,514.79

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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.