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Finding the Fourth Proportional to 474,815.54, 655,290 and 283,824.86

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Solution

The fourth proportional to 474,815.54, 655,290 and 283,824.86 is: 391,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,815.54 : 655,290 = 283,824.86 : x
  2. Step 2: Convert to fraction form
    474,815.54/655,290 = 283,824.86/x
  3. Step 3: Cross multiply
    474,815.54x = 655,290 × 283,824.86
  4. Step 4: Simplify right side
    474,815.54x = 185,987,592,509.40
  5. Step 5: Solve for x
    x = 185,987,592,509.40/474,815.54
  6. Step 6: Final answer
    x = 391,704.94

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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.