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Finding the Fourth Proportional to 407,705.40, 611,558.10 and 403,768.80

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Solution

The fourth proportional to 407,705.40, 611,558.10 and 403,768.80 is: 605,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,705.40 : 611,558.10 = 403,768.80 : x
  2. Step 2: Convert to fraction form
    407,705.40/611,558.10 = 403,768.80/x
  3. Step 3: Cross multiply
    407,705.40x = 611,558.10 × 403,768.80
  4. Step 4: Simplify right side
    407,705.40x = 246,928,080,167.28
  5. Step 5: Solve for x
    x = 246,928,080,167.28/407,705.40
  6. Step 6: Final answer
    x = 605,653.20

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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.