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Finding the Fourth Proportional to 412,061.13, 620,899.43 and 338,821.88

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Solution

The fourth proportional to 412,061.13, 620,899.43 and 338,821.88 is: 510,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,061.13 : 620,899.43 = 338,821.88 : x
  2. Step 2: Convert to fraction form
    412,061.13/620,899.43 = 338,821.88/x
  3. Step 3: Cross multiply
    412,061.13x = 620,899.43 × 338,821.88
  4. Step 4: Simplify right side
    412,061.13x = 210,374,307,364.92
  5. Step 5: Solve for x
    x = 210,374,307,364.92/412,061.13
  6. Step 6: Final answer
    x = 510,541.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.