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Finding the Fourth Proportional to 305,404.34, 458,135.66 and 94,985.78

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Solution

The fourth proportional to 305,404.34, 458,135.66 and 94,985.78 is: 142,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,404.34 : 458,135.66 = 94,985.78 : x
  2. Step 2: Convert to fraction form
    305,404.34/458,135.66 = 94,985.78/x
  3. Step 3: Cross multiply
    305,404.34x = 458,135.66 × 94,985.78
  4. Step 4: Simplify right side
    305,404.34x = 43,516,373,010.91
  5. Step 5: Solve for x
    x = 43,516,373,010.91/305,404.34
  6. Step 6: Final answer
    x = 142,487.74

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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.