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Finding the Fourth Proportional to 524,297.60, 786,640.80 and 208,980.80

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Solution

The fourth proportional to 524,297.60, 786,640.80 and 208,980.80 is: 313,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,297.60 : 786,640.80 = 208,980.80 : x
  2. Step 2: Convert to fraction form
    524,297.60/786,640.80 = 208,980.80/x
  3. Step 3: Cross multiply
    524,297.60x = 786,640.80 × 208,980.80
  4. Step 4: Simplify right side
    524,297.60x = 164,392,823,696.64
  5. Step 5: Solve for x
    x = 164,392,823,696.64/524,297.60
  6. Step 6: Final answer
    x = 313,548.69

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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.