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Finding the Fourth Proportional to 407,581.20, 611,371.80 and 302,605.20

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Solution

The fourth proportional to 407,581.20, 611,371.80 and 302,605.20 is: 453,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,581.20 : 611,371.80 = 302,605.20 : x
  2. Step 2: Convert to fraction form
    407,581.20/611,371.80 = 302,605.20/x
  3. Step 3: Cross multiply
    407,581.20x = 611,371.80 × 302,605.20
  4. Step 4: Simplify right side
    407,581.20x = 185,004,285,813.36
  5. Step 5: Solve for x
    x = 185,004,285,813.36/407,581.20
  6. Step 6: Final answer
    x = 453,907.80

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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.