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Finding the Fourth Proportional to 513,075.60, 768,738.60 and 437,842.80

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Solution

The fourth proportional to 513,075.60, 768,738.60 and 437,842.80 is: 656,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,075.60 : 768,738.60 = 437,842.80 : x
  2. Step 2: Convert to fraction form
    513,075.60/768,738.60 = 437,842.80/x
  3. Step 3: Cross multiply
    513,075.60x = 768,738.60 × 437,842.80
  4. Step 4: Simplify right side
    513,075.60x = 336,586,661,092.08
  5. Step 5: Solve for x
    x = 336,586,661,092.08/513,075.60
  6. Step 6: Final answer
    x = 656,017.67

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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.