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Finding the Fourth Proportional to 493,412.78, 680,915.76 and 289,453.16

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Solution

The fourth proportional to 493,412.78, 680,915.76 and 289,453.16 is: 399,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,412.78 : 680,915.76 = 289,453.16 : x
  2. Step 2: Convert to fraction form
    493,412.78/680,915.76 = 289,453.16/x
  3. Step 3: Cross multiply
    493,412.78x = 680,915.76 × 289,453.16
  4. Step 4: Simplify right side
    493,412.78x = 197,093,218,425.80
  5. Step 5: Solve for x
    x = 197,093,218,425.80/493,412.78
  6. Step 6: Final answer
    x = 399,448.95

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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.