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Finding the Fourth Proportional to 458,536.30, 687,804.45 and 458,536.30

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Solution

The fourth proportional to 458,536.30, 687,804.45 and 458,536.30 is: 687,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,536.30 : 687,804.45 = 458,536.30 : x
  2. Step 2: Convert to fraction form
    458,536.30/687,804.45 = 458,536.30/x
  3. Step 3: Cross multiply
    458,536.30x = 687,804.45 × 458,536.30
  4. Step 4: Simplify right side
    458,536.30x = 315,383,307,626.54
  5. Step 5: Solve for x
    x = 315,383,307,626.54/458,536.30
  6. Step 6: Final answer
    x = 687,804.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.