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Finding the Fourth Proportional to 280,006.74, 419,878.76 and 102,389.54

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Solution

The fourth proportional to 280,006.74, 419,878.76 and 102,389.54 is: 153,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,006.74 : 419,878.76 = 102,389.54 : x
  2. Step 2: Convert to fraction form
    280,006.74/419,878.76 = 102,389.54/x
  3. Step 3: Cross multiply
    280,006.74x = 419,878.76 × 102,389.54
  4. Step 4: Simplify right side
    280,006.74x = 42,991,190,480.83
  5. Step 5: Solve for x
    x = 42,991,190,480.83/280,006.74
  6. Step 6: Final answer
    x = 153,536.27

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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.