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Finding the Fourth Proportional to 255,478.44, 382,878.06 and 135,510.66

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Solution

The fourth proportional to 255,478.44, 382,878.06 and 135,510.66 is: 203,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,478.44 : 382,878.06 = 135,510.66 : x
  2. Step 2: Convert to fraction form
    255,478.44/382,878.06 = 135,510.66/x
  3. Step 3: Cross multiply
    255,478.44x = 382,878.06 × 135,510.66
  4. Step 4: Simplify right side
    255,478.44x = 51,884,058,610.12
  5. Step 5: Solve for x
    x = 51,884,058,610.12/255,478.44
  6. Step 6: Final answer
    x = 203,085.86

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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.