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Finding the Fourth Proportional to 517,199.45, 713,569.10 and 313,185.15

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Solution

The fourth proportional to 517,199.45, 713,569.10 and 313,185.15 is: 432,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,199.45 : 713,569.10 = 313,185.15 : x
  2. Step 2: Convert to fraction form
    517,199.45/713,569.10 = 313,185.15/x
  3. Step 3: Cross multiply
    517,199.45x = 713,569.10 × 313,185.15
  4. Step 4: Simplify right side
    517,199.45x = 223,479,244,052.94
  5. Step 5: Solve for x
    x = 223,479,244,052.94/517,199.45
  6. Step 6: Final answer
    x = 432,094.90

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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.