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Finding the Fourth Proportional to 413,967.92, 620,363.82 and 318,838.28

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Solution

The fourth proportional to 413,967.92, 620,363.82 and 318,838.28 is: 477,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,967.92 : 620,363.82 = 318,838.28 : x
  2. Step 2: Convert to fraction form
    413,967.92/620,363.82 = 318,838.28/x
  3. Step 3: Cross multiply
    413,967.92x = 620,363.82 × 318,838.28
  4. Step 4: Simplify right side
    413,967.92x = 197,795,733,343.03
  5. Step 5: Solve for x
    x = 197,795,733,343.03/413,967.92
  6. Step 6: Final answer
    x = 477,804.50

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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.