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Finding the Fourth Proportional to 508,343.36, 762,268 and 153,291.20

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Solution

The fourth proportional to 508,343.36, 762,268 and 153,291.20 is: 229,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,343.36 : 762,268 = 153,291.20 : x
  2. Step 2: Convert to fraction form
    508,343.36/762,268 = 153,291.20/x
  3. Step 3: Cross multiply
    508,343.36x = 762,268 × 153,291.20
  4. Step 4: Simplify right side
    508,343.36x = 116,848,976,441.60
  5. Step 5: Solve for x
    x = 116,848,976,441.60/508,343.36
  6. Step 6: Final answer
    x = 229,862.30

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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.