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Finding the Fourth Proportional to 461,057.04, 636,261.50 and 257,120.86

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Solution

The fourth proportional to 461,057.04, 636,261.50 and 257,120.86 is: 354,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,057.04 : 636,261.50 = 257,120.86 : x
  2. Step 2: Convert to fraction form
    461,057.04/636,261.50 = 257,120.86/x
  3. Step 3: Cross multiply
    461,057.04x = 636,261.50 × 257,120.86
  4. Step 4: Simplify right side
    461,057.04x = 163,596,101,188.63
  5. Step 5: Solve for x
    x = 163,596,101,188.63/461,057.04
  6. Step 6: Final answer
    x = 354,828.33

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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.