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Finding the Fourth Proportional to 508,242.56, 762,369.80 and 153,259.68

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Solution

The fourth proportional to 508,242.56, 762,369.80 and 153,259.68 is: 229,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,242.56 : 762,369.80 = 153,259.68 : x
  2. Step 2: Convert to fraction form
    508,242.56/762,369.80 = 153,259.68/x
  3. Step 3: Cross multiply
    508,242.56x = 762,369.80 × 153,259.68
  4. Step 4: Simplify right side
    508,242.56x = 116,840,551,589.66
  5. Step 5: Solve for x
    x = 116,840,551,589.66/508,242.56
  6. Step 6: Final answer
    x = 229,891.32

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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.