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Finding the Fourth Proportional to 517,319.96, 713,963.69 and 313,364.89

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Solution

The fourth proportional to 517,319.96, 713,963.69 and 313,364.89 is: 432,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,319.96 : 713,963.69 = 313,364.89 : x
  2. Step 2: Convert to fraction form
    517,319.96/713,963.69 = 313,364.89/x
  3. Step 3: Cross multiply
    517,319.96x = 713,963.69 × 313,364.89
  4. Step 4: Simplify right side
    517,319.96x = 223,731,153,180.84
  5. Step 5: Solve for x
    x = 223,731,153,180.84/517,319.96
  6. Step 6: Final answer
    x = 432,481.19

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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.