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Finding the Fourth Proportional to 508,494.11, 762,864.68 and 153,486.90

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Solution

The fourth proportional to 508,494.11, 762,864.68 and 153,486.90 is: 230,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,494.11 : 762,864.68 = 153,486.90 : x
  2. Step 2: Convert to fraction form
    508,494.11/762,864.68 = 153,486.90/x
  3. Step 3: Cross multiply
    508,494.11x = 762,864.68 × 153,486.90
  4. Step 4: Simplify right side
    508,494.11x = 117,089,735,236.41
  5. Step 5: Solve for x
    x = 117,089,735,236.41/508,494.11
  6. Step 6: Final answer
    x = 230,267.64

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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.