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Finding the Fourth Proportional to 475,140.52, 655,168.48 and 302,785.46

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Solution

The fourth proportional to 475,140.52, 655,168.48 and 302,785.46 is: 417,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,140.52 : 655,168.48 = 302,785.46 : x
  2. Step 2: Convert to fraction form
    475,140.52/655,168.48 = 302,785.46/x
  3. Step 3: Cross multiply
    475,140.52x = 655,168.48 × 302,785.46
  4. Step 4: Simplify right side
    475,140.52x = 198,375,489,594.30
  5. Step 5: Solve for x
    x = 198,375,489,594.30/475,140.52
  6. Step 6: Final answer
    x = 417,509.10

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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.