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Finding the Fourth Proportional to 256,696.29, 385,393.59 and 144,455.50

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Solution

The fourth proportional to 256,696.29, 385,393.59 and 144,455.50 is: 216,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,696.29 : 385,393.59 = 144,455.50 : x
  2. Step 2: Convert to fraction form
    256,696.29/385,393.59 = 144,455.50/x
  3. Step 3: Cross multiply
    256,696.29x = 385,393.59 × 144,455.50
  4. Step 4: Simplify right side
    256,696.29x = 55,672,221,091.00
  5. Step 5: Solve for x
    x = 55,672,221,091.00/256,696.29
  6. Step 6: Final answer
    x = 216,879.73

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1.5x scale

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.