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Finding the Fourth Proportional to 509,450.90, 764,176.35 and 465,905.30

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Solution

The fourth proportional to 509,450.90, 764,176.35 and 465,905.30 is: 698,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,450.90 : 764,176.35 = 465,905.30 : x
  2. Step 2: Convert to fraction form
    509,450.90/764,176.35 = 465,905.30/x
  3. Step 3: Cross multiply
    509,450.90x = 764,176.35 × 465,905.30
  4. Step 4: Simplify right side
    509,450.90x = 356,033,811,599.66
  5. Step 5: Solve for x
    x = 356,033,811,599.66/509,450.90
  6. Step 6: Final answer
    x = 698,857.95

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Similar ratio
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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.