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Finding the Fourth Proportional to 517,200.45, 713,570.47 and 313,186.15

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Solution

The fourth proportional to 517,200.45, 713,570.47 and 313,186.15 is: 432,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,200.45 : 713,570.47 = 313,186.15 : x
  2. Step 2: Convert to fraction form
    517,200.45/713,570.47 = 313,186.15/x
  3. Step 3: Cross multiply
    517,200.45x = 713,570.47 × 313,186.15
  4. Step 4: Simplify right side
    517,200.45x = 223,480,388,252.99
  5. Step 5: Solve for x
    x = 223,480,388,252.99/517,200.45
  6. Step 6: Final answer
    x = 432,096.28

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1.5x scale

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.