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Finding the Fourth Proportional to 407,776.80, 611,762.40 and 197,241.60

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Solution

The fourth proportional to 407,776.80, 611,762.40 and 197,241.60 is: 295,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,776.80 : 611,762.40 = 197,241.60 : x
  2. Step 2: Convert to fraction form
    407,776.80/611,762.40 = 197,241.60/x
  3. Step 3: Cross multiply
    407,776.80x = 611,762.40 × 197,241.60
  4. Step 4: Simplify right side
    407,776.80x = 120,664,994,595.84
  5. Step 5: Solve for x
    x = 120,664,994,595.84/407,776.80
  6. Step 6: Final answer
    x = 295,909.42

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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.