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Finding the Fourth Proportional to 317,900.72, 476,973.36 and 140,282.24

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Solution

The fourth proportional to 317,900.72, 476,973.36 and 140,282.24 is: 210,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,900.72 : 476,973.36 = 140,282.24 : x
  2. Step 2: Convert to fraction form
    317,900.72/476,973.36 = 140,282.24/x
  3. Step 3: Cross multiply
    317,900.72x = 476,973.36 × 140,282.24
  4. Step 4: Simplify right side
    317,900.72x = 66,910,891,361.13
  5. Step 5: Solve for x
    x = 66,910,891,361.13/317,900.72
  6. Step 6: Final answer
    x = 210,477.32

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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.