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Finding the Fourth Proportional to 822,120, 1,134,380.40 and 459,427.92

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Solution

The fourth proportional to 822,120, 1,134,380.40 and 459,427.92 is: 633,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,120 : 1,134,380.40 = 459,427.92 : x
  2. Step 2: Convert to fraction form
    822,120/1,134,380.40 = 459,427.92/x
  3. Step 3: Cross multiply
    822,120x = 1,134,380.40 × 459,427.92
  4. Step 4: Simplify right side
    822,120x = 521,166,027,660.77
  5. Step 5: Solve for x
    x = 521,166,027,660.77/822,120
  6. Step 6: Final answer
    x = 633,929.39

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1.5x scale

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.