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Finding the Fourth Proportional to 255,969.72, 353,210.22 and 180,387

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Solution

The fourth proportional to 255,969.72, 353,210.22 and 180,387 is: 248,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,969.72 : 353,210.22 = 180,387 : x
  2. Step 2: Convert to fraction form
    255,969.72/353,210.22 = 180,387/x
  3. Step 3: Cross multiply
    255,969.72x = 353,210.22 × 180,387
  4. Step 4: Simplify right side
    255,969.72x = 63,714,531,955.14
  5. Step 5: Solve for x
    x = 63,714,531,955.14/255,969.72
  6. Step 6: Final answer
    x = 248,914.33

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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.