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Finding the Fourth Proportional to 462,759.34, 638,655 and 281,483.77

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Solution

The fourth proportional to 462,759.34, 638,655 and 281,483.77 is: 388,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,759.34 : 638,655 = 281,483.77 : x
  2. Step 2: Convert to fraction form
    462,759.34/638,655 = 281,483.77/x
  3. Step 3: Cross multiply
    462,759.34x = 638,655 × 281,483.77
  4. Step 4: Simplify right side
    462,759.34x = 179,771,017,129.35
  5. Step 5: Solve for x
    x = 179,771,017,129.35/462,759.34
  6. Step 6: Final answer
    x = 388,476.26

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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.