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Finding the Fourth Proportional to 471,710.75, 650,960.40 and 256,852.35

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Solution

The fourth proportional to 471,710.75, 650,960.40 and 256,852.35 is: 354,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,710.75 : 650,960.40 = 256,852.35 : x
  2. Step 2: Convert to fraction form
    471,710.75/650,960.40 = 256,852.35/x
  3. Step 3: Cross multiply
    471,710.75x = 650,960.40 × 256,852.35
  4. Step 4: Simplify right side
    471,710.75x = 167,200,708,496.94
  5. Step 5: Solve for x
    x = 167,200,708,496.94/471,710.75
  6. Step 6: Final answer
    x = 354,456.01

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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.