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Finding the Fourth Proportional to 378,225.20, 566,646.60 and 307,722.80

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Solution

The fourth proportional to 378,225.20, 566,646.60 and 307,722.80 is: 461,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,225.20 : 566,646.60 = 307,722.80 : x
  2. Step 2: Convert to fraction form
    378,225.20/566,646.60 = 307,722.80/x
  3. Step 3: Cross multiply
    378,225.20x = 566,646.60 × 307,722.80
  4. Step 4: Simplify right side
    378,225.20x = 174,370,078,362.48
  5. Step 5: Solve for x
    x = 174,370,078,362.48/378,225.20
  6. Step 6: Final answer
    x = 461,021.84

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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.