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Finding the Fourth Proportional to 427,627.30, 590,085.60 and 255,511

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Solution

The fourth proportional to 427,627.30, 590,085.60 and 255,511 is: 352,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,627.30 : 590,085.60 = 255,511 : x
  2. Step 2: Convert to fraction form
    427,627.30/590,085.60 = 255,511/x
  3. Step 3: Cross multiply
    427,627.30x = 590,085.60 × 255,511
  4. Step 4: Simplify right side
    427,627.30x = 150,773,361,741.60
  5. Step 5: Solve for x
    x = 150,773,361,741.60/427,627.30
  6. Step 6: Final answer
    x = 352,581.24

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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.