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Finding the Fourth Proportional to 319,564.98, 479,515.13 and 120,023.10

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Solution

The fourth proportional to 319,564.98, 479,515.13 and 120,023.10 is: 180,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,564.98 : 479,515.13 = 120,023.10 : x
  2. Step 2: Convert to fraction form
    319,564.98/479,515.13 = 120,023.10/x
  3. Step 3: Cross multiply
    319,564.98x = 479,515.13 × 120,023.10
  4. Step 4: Simplify right side
    319,564.98x = 57,552,892,399.50
  5. Step 5: Solve for x
    x = 57,552,892,399.50/319,564.98
  6. Step 6: Final answer
    x = 180,097.62

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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.