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Finding the Fourth Proportional to 305,519.91, 458,220.52 and 153,676.50

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Solution

The fourth proportional to 305,519.91, 458,220.52 and 153,676.50 is: 230,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,519.91 : 458,220.52 = 153,676.50 : x
  2. Step 2: Convert to fraction form
    305,519.91/458,220.52 = 153,676.50/x
  3. Step 3: Cross multiply
    305,519.91x = 458,220.52 × 153,676.50
  4. Step 4: Simplify right side
    305,519.91x = 70,417,725,741.78
  5. Step 5: Solve for x
    x = 70,417,725,741.78/305,519.91
  6. Step 6: Final answer
    x = 230,484.90

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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.