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Finding the Fourth Proportional to 289,368.78, 434,120.49 and 89,678.58

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Solution

The fourth proportional to 289,368.78, 434,120.49 and 89,678.58 is: 134,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,368.78 : 434,120.49 = 89,678.58 : x
  2. Step 2: Convert to fraction form
    289,368.78/434,120.49 = 89,678.58/x
  3. Step 3: Cross multiply
    289,368.78x = 434,120.49 × 89,678.58
  4. Step 4: Simplify right side
    289,368.78x = 38,931,309,092.10
  5. Step 5: Solve for x
    x = 38,931,309,092.10/289,368.78
  6. Step 6: Final answer
    x = 134,538.73

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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.