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Finding the Fourth Proportional to 507,866, 700,855.08 and 281,546

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Solution

The fourth proportional to 507,866, 700,855.08 and 281,546 is: 388,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,866 : 700,855.08 = 281,546 : x
  2. Step 2: Convert to fraction form
    507,866/700,855.08 = 281,546/x
  3. Step 3: Cross multiply
    507,866x = 700,855.08 × 281,546
  4. Step 4: Simplify right side
    507,866x = 197,322,944,353.68
  5. Step 5: Solve for x
    x = 197,322,944,353.68/507,866
  6. Step 6: Final answer
    x = 388,533.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.