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Finding the Fourth Proportional to 475,120.80, 655,128.54 and 302,808.24

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Solution

The fourth proportional to 475,120.80, 655,128.54 and 302,808.24 is: 417,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,120.80 : 655,128.54 = 302,808.24 : x
  2. Step 2: Convert to fraction form
    475,120.80/655,128.54 = 302,808.24/x
  3. Step 3: Cross multiply
    475,120.80x = 655,128.54 × 302,808.24
  4. Step 4: Simplify right side
    475,120.80x = 198,378,320,171.17
  5. Step 5: Solve for x
    x = 198,378,320,171.17/475,120.80
  6. Step 6: Final answer
    x = 417,532.38

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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.