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Finding the Fourth Proportional to 507,151, 699,890.25 and 280,796.50

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Solution

The fourth proportional to 507,151, 699,890.25 and 280,796.50 is: 387,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,151 : 699,890.25 = 280,796.50 : x
  2. Step 2: Convert to fraction form
    507,151/699,890.25 = 280,796.50/x
  3. Step 3: Cross multiply
    507,151x = 699,890.25 × 280,796.50
  4. Step 4: Simplify right side
    507,151x = 196,526,732,584.13
  5. Step 5: Solve for x
    x = 196,526,732,584.13/507,151
  6. Step 6: Final answer
    x = 387,511.28

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1.5x scale

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.