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Finding the Fourth Proportional to 463,518.65, 639,583.90 and 259,578.20

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Solution

The fourth proportional to 463,518.65, 639,583.90 and 259,578.20 is: 358,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,518.65 : 639,583.90 = 259,578.20 : x
  2. Step 2: Convert to fraction form
    463,518.65/639,583.90 = 259,578.20/x
  3. Step 3: Cross multiply
    463,518.65x = 639,583.90 × 259,578.20
  4. Step 4: Simplify right side
    463,518.65x = 166,022,038,460.99
  5. Step 5: Solve for x
    x = 166,022,038,460.99/463,518.65
  6. Step 6: Final answer
    x = 358,177.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.