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Finding the Fourth Proportional to 414,543.40, 621,815.12 and 365,554.60

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Solution

The fourth proportional to 414,543.40, 621,815.12 and 365,554.60 is: 548,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,543.40 : 621,815.12 = 365,554.60 : x
  2. Step 2: Convert to fraction form
    414,543.40/621,815.12 = 365,554.60/x
  3. Step 3: Cross multiply
    414,543.40x = 621,815.12 × 365,554.60
  4. Step 4: Simplify right side
    414,543.40x = 227,307,377,465.55
  5. Step 5: Solve for x
    x = 227,307,377,465.55/414,543.40
  6. Step 6: Final answer
    x = 548,331.92

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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.