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Finding the Fourth Proportional to 900,766, 1,243,072.84 and 492,903.60

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Solution

The fourth proportional to 900,766, 1,243,072.84 and 492,903.60 is: 680,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,766 : 1,243,072.84 = 492,903.60 : x
  2. Step 2: Convert to fraction form
    900,766/1,243,072.84 = 492,903.60/x
  3. Step 3: Cross multiply
    900,766x = 1,243,072.84 × 492,903.60
  4. Step 4: Simplify right side
    900,766x = 612,715,077,898.22
  5. Step 5: Solve for x
    x = 612,715,077,898.22/900,766
  6. Step 6: Final answer
    x = 680,215.59

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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.