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Finding the Fourth Proportional to 413,564.10, 620,346.15 and 308,588.10

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Solution

The fourth proportional to 413,564.10, 620,346.15 and 308,588.10 is: 462,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,564.10 : 620,346.15 = 308,588.10 : x
  2. Step 2: Convert to fraction form
    413,564.10/620,346.15 = 308,588.10/x
  3. Step 3: Cross multiply
    413,564.10x = 620,346.15 × 308,588.10
  4. Step 4: Simplify right side
    413,564.10x = 191,431,439,770.82
  5. Step 5: Solve for x
    x = 191,431,439,770.82/413,564.10
  6. Step 6: Final answer
    x = 462,882.15

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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.