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Finding the Fourth Proportional to 340,713.64, 510,505.49 and 207,190.00

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Solution

The fourth proportional to 340,713.64, 510,505.49 and 207,190.00 is: 310,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,713.64 : 510,505.49 = 207,190.00 : x
  2. Step 2: Convert to fraction form
    340,713.64/510,505.49 = 207,190.00/x
  3. Step 3: Cross multiply
    340,713.64x = 510,505.49 × 207,190.00
  4. Step 4: Simplify right side
    340,713.64x = 105,771,632,463.76
  5. Step 5: Solve for x
    x = 105,771,632,463.76/340,713.64
  6. Step 6: Final answer
    x = 310,441.44

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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.