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Finding the Fourth Proportional to 512,416.49, 707,323.46 and 308,476.89

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Solution

The fourth proportional to 512,416.49, 707,323.46 and 308,476.89 is: 425,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,416.49 : 707,323.46 = 308,476.89 : x
  2. Step 2: Convert to fraction form
    512,416.49/707,323.46 = 308,476.89/x
  3. Step 3: Cross multiply
    512,416.49x = 707,323.46 × 308,476.89
  4. Step 4: Simplify right side
    512,416.49x = 218,192,939,622.46
  5. Step 5: Solve for x
    x = 218,192,939,622.46/512,416.49
  6. Step 6: Final answer
    x = 425,811.71

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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.