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Finding the Fourth Proportional to 567,429.84, 782,991.36 and 312,732

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Solution

The fourth proportional to 567,429.84, 782,991.36 and 312,732 is: 431,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,429.84 : 782,991.36 = 312,732 : x
  2. Step 2: Convert to fraction form
    567,429.84/782,991.36 = 312,732/x
  3. Step 3: Cross multiply
    567,429.84x = 782,991.36 × 312,732
  4. Step 4: Simplify right side
    567,429.84x = 244,866,453,995.52
  5. Step 5: Solve for x
    x = 244,866,453,995.52/567,429.84
  6. Step 6: Final answer
    x = 431,536.09

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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.