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Finding the Fourth Proportional to 313,142.92, 469,708.90 and 216,991.46

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Solution

The fourth proportional to 313,142.92, 469,708.90 and 216,991.46 is: 325,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,142.92 : 469,708.90 = 216,991.46 : x
  2. Step 2: Convert to fraction form
    313,142.92/469,708.90 = 216,991.46/x
  3. Step 3: Cross multiply
    313,142.92x = 469,708.90 × 216,991.46
  4. Step 4: Simplify right side
    313,142.92x = 101,922,820,617.79
  5. Step 5: Solve for x
    x = 101,922,820,617.79/313,142.92
  6. Step 6: Final answer
    x = 325,483.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.