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Finding the Fourth Proportional to 462,762, 638,584.92 and 256,017.96

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Solution

The fourth proportional to 462,762, 638,584.92 and 256,017.96 is: 353,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,762 : 638,584.92 = 256,017.96 : x
  2. Step 2: Convert to fraction form
    462,762/638,584.92 = 256,017.96/x
  3. Step 3: Cross multiply
    462,762x = 638,584.92 × 256,017.96
  4. Step 4: Simplify right side
    462,762x = 163,489,208,505.16
  5. Step 5: Solve for x
    x = 163,489,208,505.16/462,762
  6. Step 6: Final answer
    x = 353,290.05

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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.