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Finding the Fourth Proportional to 458,171.04, 632,307.60 and 256,980

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Solution

The fourth proportional to 458,171.04, 632,307.60 and 256,980 is: 354,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,171.04 : 632,307.60 = 256,980 : x
  2. Step 2: Convert to fraction form
    458,171.04/632,307.60 = 256,980/x
  3. Step 3: Cross multiply
    458,171.04x = 632,307.60 × 256,980
  4. Step 4: Simplify right side
    458,171.04x = 162,490,407,048
  5. Step 5: Solve for x
    x = 162,490,407,048/458,171.04
  6. Step 6: Final answer
    x = 354,650.10

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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.