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Finding the Fourth Proportional to 567,449.49, 783,085.68 and 312,809.79

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Solution

The fourth proportional to 567,449.49, 783,085.68 and 312,809.79 is: 431,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,449.49 : 783,085.68 = 312,809.79 : x
  2. Step 2: Convert to fraction form
    567,449.49/783,085.68 = 312,809.79/x
  3. Step 3: Cross multiply
    567,449.49x = 783,085.68 × 312,809.79
  4. Step 4: Simplify right side
    567,449.49x = 244,956,867,112.81
  5. Step 5: Solve for x
    x = 244,956,867,112.81/567,449.49
  6. Step 6: Final answer
    x = 431,680.48

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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.