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Finding the Fourth Proportional to 289,692, 434,518.56 and 79,331.76

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Solution

The fourth proportional to 289,692, 434,518.56 and 79,331.76 is: 118,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,692 : 434,518.56 = 79,331.76 : x
  2. Step 2: Convert to fraction form
    289,692/434,518.56 = 79,331.76/x
  3. Step 3: Cross multiply
    289,692x = 434,518.56 × 79,331.76
  4. Step 4: Simplify right side
    289,692x = 34,471,122,117.47
  5. Step 5: Solve for x
    x = 34,471,122,117.47/289,692
  6. Step 6: Final answer
    x = 118,992.32

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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.