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Finding the Fourth Proportional to 507,986.68, 761,984.63 and 219,744.52

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Solution

The fourth proportional to 507,986.68, 761,984.63 and 219,744.52 is: 329,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,986.68 : 761,984.63 = 219,744.52 : x
  2. Step 2: Convert to fraction form
    507,986.68/761,984.63 = 219,744.52/x
  3. Step 3: Cross multiply
    507,986.68x = 761,984.63 × 219,744.52
  4. Step 4: Simplify right side
    507,986.68x = 167,441,947,039.18
  5. Step 5: Solve for x
    x = 167,441,947,039.18/507,986.68
  6. Step 6: Final answer
    x = 329,618.78

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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.