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Finding the Fourth Proportional to 517,200.20, 713,570.13 and 313,185.90

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Solution

The fourth proportional to 517,200.20, 713,570.13 and 313,185.90 is: 432,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,200.20 : 713,570.13 = 313,185.90 : x
  2. Step 2: Convert to fraction form
    517,200.20/713,570.13 = 313,185.90/x
  3. Step 3: Cross multiply
    517,200.20x = 713,570.13 × 313,185.90
  4. Step 4: Simplify right side
    517,200.20x = 223,480,103,377.17
  5. Step 5: Solve for x
    x = 223,480,103,377.17/517,200.20
  6. Step 6: Final answer
    x = 432,095.94

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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.