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Finding the Fourth Proportional to 659,074.25, 987,014.89 and 456,101.59

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Solution

The fourth proportional to 659,074.25, 987,014.89 and 456,101.59 is: 683,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,074.25 : 987,014.89 = 456,101.59 : x
  2. Step 2: Convert to fraction form
    659,074.25/987,014.89 = 456,101.59/x
  3. Step 3: Cross multiply
    659,074.25x = 987,014.89 × 456,101.59
  4. Step 4: Simplify right side
    659,074.25x = 450,179,065,478.05
  5. Step 5: Solve for x
    x = 450,179,065,478.05/659,074.25
  6. Step 6: Final answer
    x = 683,047.57

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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.