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Finding the Fourth Proportional to 458,689.40, 633,012.42 and 254,741.27

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Solution

The fourth proportional to 458,689.40, 633,012.42 and 254,741.27 is: 351,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,689.40 : 633,012.42 = 254,741.27 : x
  2. Step 2: Convert to fraction form
    458,689.40/633,012.42 = 254,741.27/x
  3. Step 3: Cross multiply
    458,689.40x = 633,012.42 × 254,741.27
  4. Step 4: Simplify right side
    458,689.40x = 161,254,383,357.81
  5. Step 5: Solve for x
    x = 161,254,383,357.81/458,689.40
  6. Step 6: Final answer
    x = 351,554.64

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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.