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Finding the Fourth Proportional to 812,268, 1,120,929.84 and 454,572

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Solution

The fourth proportional to 812,268, 1,120,929.84 and 454,572 is: 627,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,268 : 1,120,929.84 = 454,572 : x
  2. Step 2: Convert to fraction form
    812,268/1,120,929.84 = 454,572/x
  3. Step 3: Cross multiply
    812,268x = 1,120,929.84 × 454,572
  4. Step 4: Simplify right side
    812,268x = 509,543,319,228.48
  5. Step 5: Solve for x
    x = 509,543,319,228.48/812,268
  6. Step 6: Final answer
    x = 627,309.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.