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Finding the Fourth Proportional to 411,313.20, 616,969.80 and 346,359.30

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Solution

The fourth proportional to 411,313.20, 616,969.80 and 346,359.30 is: 519,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,313.20 : 616,969.80 = 346,359.30 : x
  2. Step 2: Convert to fraction form
    411,313.20/616,969.80 = 346,359.30/x
  3. Step 3: Cross multiply
    411,313.20x = 616,969.80 × 346,359.30
  4. Step 4: Simplify right side
    411,313.20x = 213,693,228,049.14
  5. Step 5: Solve for x
    x = 213,693,228,049.14/411,313.20
  6. Step 6: Final answer
    x = 519,538.95

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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.