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Finding the Fourth Proportional to 378,082.80, 567,059.40 and 141,303.60

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Solution

The fourth proportional to 378,082.80, 567,059.40 and 141,303.60 is: 211,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,082.80 : 567,059.40 = 141,303.60 : x
  2. Step 2: Convert to fraction form
    378,082.80/567,059.40 = 141,303.60/x
  3. Step 3: Cross multiply
    378,082.80x = 567,059.40 × 141,303.60
  4. Step 4: Simplify right side
    378,082.80x = 80,127,534,633.84
  5. Step 5: Solve for x
    x = 80,127,534,633.84/378,082.80
  6. Step 6: Final answer
    x = 211,931.18

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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.