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Finding the Fourth Proportional to 280,787, 421,377.32 and 162,295.32

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Solution

The fourth proportional to 280,787, 421,377.32 and 162,295.32 is: 243,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,787 : 421,377.32 = 162,295.32 : x
  2. Step 2: Convert to fraction form
    280,787/421,377.32 = 162,295.32/x
  3. Step 3: Cross multiply
    280,787x = 421,377.32 × 162,295.32
  4. Step 4: Simplify right side
    280,787x = 68,387,566,990.14
  5. Step 5: Solve for x
    x = 68,387,566,990.14/280,787
  6. Step 6: Final answer
    x = 243,556.74

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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.