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Finding the Fourth Proportional to 513,670.40, 770,505.60 and 345,708.80

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Solution

The fourth proportional to 513,670.40, 770,505.60 and 345,708.80 is: 518,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,670.40 : 770,505.60 = 345,708.80 : x
  2. Step 2: Convert to fraction form
    513,670.40/770,505.60 = 345,708.80/x
  3. Step 3: Cross multiply
    513,670.40x = 770,505.60 × 345,708.80
  4. Step 4: Simplify right side
    513,670.40x = 266,370,566,369.28
  5. Step 5: Solve for x
    x = 266,370,566,369.28/513,670.40
  6. Step 6: Final answer
    x = 518,563.20

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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.