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Finding the Fourth Proportional to 659,494.80, 989,825.40 and 565,016.40

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Solution

The fourth proportional to 659,494.80, 989,825.40 and 565,016.40 is: 848,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,494.80 : 989,825.40 = 565,016.40 : x
  2. Step 2: Convert to fraction form
    659,494.80/989,825.40 = 565,016.40/x
  3. Step 3: Cross multiply
    659,494.80x = 989,825.40 × 565,016.40
  4. Step 4: Simplify right side
    659,494.80x = 559,267,584,136.56
  5. Step 5: Solve for x
    x = 559,267,584,136.56/659,494.80
  6. Step 6: Final answer
    x = 848,024.25

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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.