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Finding the Fourth Proportional to 458,967.08, 688,431.90 and 159,515.56

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Solution

The fourth proportional to 458,967.08, 688,431.90 and 159,515.56 is: 239,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,967.08 : 688,431.90 = 159,515.56 : x
  2. Step 2: Convert to fraction form
    458,967.08/688,431.90 = 159,515.56/x
  3. Step 3: Cross multiply
    458,967.08x = 688,431.90 × 159,515.56
  4. Step 4: Simplify right side
    458,967.08x = 109,815,600,050.36
  5. Step 5: Solve for x
    x = 109,815,600,050.36/458,967.08
  6. Step 6: Final answer
    x = 239,266.83

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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.