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Finding the Fourth Proportional to 507,890.63, 700,896.96 and 278,468.87

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Solution

The fourth proportional to 507,890.63, 700,896.96 and 278,468.87 is: 384,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,890.63 : 700,896.96 = 278,468.87 : x
  2. Step 2: Convert to fraction form
    507,890.63/700,896.96 = 278,468.87/x
  3. Step 3: Cross multiply
    507,890.63x = 700,896.96 × 278,468.87
  4. Step 4: Simplify right side
    507,890.63x = 195,177,980,933.15
  5. Step 5: Solve for x
    x = 195,177,980,933.15/507,890.63
  6. Step 6: Final answer
    x = 384,291.36

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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.