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Finding the Fourth Proportional to 652,021.40, 978,518.10 and 336,315.80

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Solution

The fourth proportional to 652,021.40, 978,518.10 and 336,315.80 is: 504,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,021.40 : 978,518.10 = 336,315.80 : x
  2. Step 2: Convert to fraction form
    652,021.40/978,518.10 = 336,315.80/x
  3. Step 3: Cross multiply
    652,021.40x = 978,518.10 × 336,315.80
  4. Step 4: Simplify right side
    652,021.40x = 329,091,097,615.98
  5. Step 5: Solve for x
    x = 329,091,097,615.98/652,021.40
  6. Step 6: Final answer
    x = 504,724.38

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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.