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Finding the Fourth Proportional to 458,419.02, 687,472.81 and 158,829.67

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Solution

The fourth proportional to 458,419.02, 687,472.81 and 158,829.67 is: 238,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,419.02 : 687,472.81 = 158,829.67 : x
  2. Step 2: Convert to fraction form
    458,419.02/687,472.81 = 158,829.67/x
  3. Step 3: Cross multiply
    458,419.02x = 687,472.81 × 158,829.67
  4. Step 4: Simplify right side
    458,419.02x = 109,191,079,546.27
  5. Step 5: Solve for x
    x = 109,191,079,546.27/458,419.02
  6. Step 6: Final answer
    x = 238,190.55

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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.