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Finding the Fourth Proportional to 378,203.10, 566,527.05 and 260,007.90

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Solution

The fourth proportional to 378,203.10, 566,527.05 and 260,007.90 is: 389,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,203.10 : 566,527.05 = 260,007.90 : x
  2. Step 2: Convert to fraction form
    378,203.10/566,527.05 = 260,007.90/x
  3. Step 3: Cross multiply
    378,203.10x = 566,527.05 × 260,007.90
  4. Step 4: Simplify right side
    378,203.10x = 147,301,508,563.70
  5. Step 5: Solve for x
    x = 147,301,508,563.70/378,203.10
  6. Step 6: Final answer
    x = 389,477.26

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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.