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Finding the Fourth Proportional to 513,604.32, 769,309.20 and 417,106.62

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Solution

The fourth proportional to 513,604.32, 769,309.20 and 417,106.62 is: 624,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,604.32 : 769,309.20 = 417,106.62 : x
  2. Step 2: Convert to fraction form
    513,604.32/769,309.20 = 417,106.62/x
  3. Step 3: Cross multiply
    513,604.32x = 769,309.20 × 417,106.62
  4. Step 4: Simplify right side
    513,604.32x = 320,883,960,146.90
  5. Step 5: Solve for x
    x = 320,883,960,146.90/513,604.32
  6. Step 6: Final answer
    x = 624,768.81

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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.