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Finding the Fourth Proportional to 509,477.36, 764,559.71 and 209,951.30

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Solution

The fourth proportional to 509,477.36, 764,559.71 and 209,951.30 is: 315,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,477.36 : 764,559.71 = 209,951.30 : x
  2. Step 2: Convert to fraction form
    509,477.36/764,559.71 = 209,951.30/x
  3. Step 3: Cross multiply
    509,477.36x = 764,559.71 × 209,951.30
  4. Step 4: Simplify right side
    509,477.36x = 160,520,300,169.57
  5. Step 5: Solve for x
    x = 160,520,300,169.57/509,477.36
  6. Step 6: Final answer
    x = 315,068.57

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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.