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Finding the Fourth Proportional to 286,640.50, 429,970.46 and 76,278.64

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Solution

The fourth proportional to 286,640.50, 429,970.46 and 76,278.64 is: 114,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,640.50 : 429,970.46 = 76,278.64 : x
  2. Step 2: Convert to fraction form
    286,640.50/429,970.46 = 76,278.64/x
  3. Step 3: Cross multiply
    286,640.50x = 429,970.46 × 76,278.64
  4. Step 4: Simplify right side
    286,640.50x = 32,797,560,472.66
  5. Step 5: Solve for x
    x = 32,797,560,472.66/286,640.50
  6. Step 6: Final answer
    x = 114,420.54

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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.