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Finding the Fourth Proportional to 825,318, 1,138,956.12 and 467,622

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Solution

The fourth proportional to 825,318, 1,138,956.12 and 467,622 is: 645,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,318 : 1,138,956.12 = 467,622 : x
  2. Step 2: Convert to fraction form
    825,318/1,138,956.12 = 467,622/x
  3. Step 3: Cross multiply
    825,318x = 1,138,956.12 × 467,622
  4. Step 4: Simplify right side
    825,318x = 532,600,938,746.64
  5. Step 5: Solve for x
    x = 532,600,938,746.64/825,318
  6. Step 6: Final answer
    x = 645,328.15

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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.