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Finding the Fourth Proportional to 652,817.86, 978,512.55 and 279,062.98

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Solution

The fourth proportional to 652,817.86, 978,512.55 and 279,062.98 is: 418,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,817.86 : 978,512.55 = 279,062.98 : x
  2. Step 2: Convert to fraction form
    652,817.86/978,512.55 = 279,062.98/x
  3. Step 3: Cross multiply
    652,817.86x = 978,512.55 × 279,062.98
  4. Step 4: Simplify right side
    652,817.86x = 273,066,628,170.40
  5. Step 5: Solve for x
    x = 273,066,628,170.40/652,817.86
  6. Step 6: Final answer
    x = 418,289.15

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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.