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Finding the Fourth Proportional to 3,787,842.40, 5,674,390.80 and 2,287,477.60

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Solution

The fourth proportional to 3,787,842.40, 5,674,390.80 and 2,287,477.60 is: 3,426,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787,842.40 : 5,674,390.80 = 2,287,477.60 : x
  2. Step 2: Convert to fraction form
    3,787,842.40/5,674,390.80 = 2,287,477.60/x
  3. Step 3: Cross multiply
    3,787,842.40x = 5,674,390.80 × 2,287,477.60
  4. Step 4: Simplify right side
    3,787,842.40x = 12,980,041,848,646.08
  5. Step 5: Solve for x
    x = 12,980,041,848,646.08/3,787,842.40
  6. Step 6: Final answer
    x = 3,426,763.97

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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.