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Finding the Fourth Proportional to 497,415.40, 746,123.10 and 347,824.60

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Solution

The fourth proportional to 497,415.40, 746,123.10 and 347,824.60 is: 521,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,415.40 : 746,123.10 = 347,824.60 : x
  2. Step 2: Convert to fraction form
    497,415.40/746,123.10 = 347,824.60/x
  3. Step 3: Cross multiply
    497,415.40x = 746,123.10 × 347,824.60
  4. Step 4: Simplify right side
    497,415.40x = 259,519,968,808.26
  5. Step 5: Solve for x
    x = 259,519,968,808.26/497,415.40
  6. Step 6: Final answer
    x = 521,736.90

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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.