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Finding the Fourth Proportional to 427,712.76, 590,203.62 and 255,596.57

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Solution

The fourth proportional to 427,712.76, 590,203.62 and 255,596.57 is: 352,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,712.76 : 590,203.62 = 255,596.57 : x
  2. Step 2: Convert to fraction form
    427,712.76/590,203.62 = 255,596.57/x
  3. Step 3: Cross multiply
    427,712.76x = 590,203.62 × 255,596.57
  4. Step 4: Simplify right side
    427,712.76x = 150,854,017,922.57
  5. Step 5: Solve for x
    x = 150,854,017,922.57/427,712.76
  6. Step 6: Final answer
    x = 352,699.36

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1.5x scale

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.