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Finding the Fourth Proportional to 313,758.64, 432,989.78 and 170,519.02

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Solution

The fourth proportional to 313,758.64, 432,989.78 and 170,519.02 is: 235,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,758.64 : 432,989.78 = 170,519.02 : x
  2. Step 2: Convert to fraction form
    313,758.64/432,989.78 = 170,519.02/x
  3. Step 3: Cross multiply
    313,758.64x = 432,989.78 × 170,519.02
  4. Step 4: Simplify right side
    313,758.64x = 73,832,993,935.70
  5. Step 5: Solve for x
    x = 73,832,993,935.70/313,758.64
  6. Step 6: Final answer
    x = 235,317.80

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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.