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Finding the Fourth Proportional to 567,622.90, 783,283.86 and 312,976.18

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Solution

The fourth proportional to 567,622.90, 783,283.86 and 312,976.18 is: 431,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,622.90 : 783,283.86 = 312,976.18 : x
  2. Step 2: Convert to fraction form
    567,622.90/783,283.86 = 312,976.18/x
  3. Step 3: Cross multiply
    567,622.90x = 783,283.86 × 312,976.18
  4. Step 4: Simplify right side
    567,622.90x = 245,149,190,358.46
  5. Step 5: Solve for x
    x = 245,149,190,358.46/567,622.90
  6. Step 6: Final answer
    x = 431,887.42

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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.