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Finding the Fourth Proportional to 742,761, 1,025,022.60 and 403,229.25

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Solution

The fourth proportional to 742,761, 1,025,022.60 and 403,229.25 is: 556,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,761 : 1,025,022.60 = 403,229.25 : x
  2. Step 2: Convert to fraction form
    742,761/1,025,022.60 = 403,229.25/x
  3. Step 3: Cross multiply
    742,761x = 1,025,022.60 × 403,229.25
  4. Step 4: Simplify right side
    742,761x = 413,319,094,231.05
  5. Step 5: Solve for x
    x = 413,319,094,231.05/742,761
  6. Step 6: Final answer
    x = 556,463.11

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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.