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Finding the Fourth Proportional to 306,010.72, 458,828.16 and 106,245.28

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Solution

The fourth proportional to 306,010.72, 458,828.16 and 106,245.28 is: 159,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,010.72 : 458,828.16 = 106,245.28 : x
  2. Step 2: Convert to fraction form
    306,010.72/458,828.16 = 106,245.28/x
  3. Step 3: Cross multiply
    306,010.72x = 458,828.16 × 106,245.28
  4. Step 4: Simplify right side
    306,010.72x = 48,748,326,331.08
  5. Step 5: Solve for x
    x = 48,748,326,331.08/306,010.72
  6. Step 6: Final answer
    x = 159,302.68

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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.