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Finding the Fourth Proportional to 289,381.90, 434,004.80 and 78,969.82

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Solution

The fourth proportional to 289,381.90, 434,004.80 and 78,969.82 is: 118,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,381.90 : 434,004.80 = 78,969.82 : x
  2. Step 2: Convert to fraction form
    289,381.90/434,004.80 = 78,969.82/x
  3. Step 3: Cross multiply
    289,381.90x = 434,004.80 × 78,969.82
  4. Step 4: Simplify right side
    289,381.90x = 34,273,280,935.14
  5. Step 5: Solve for x
    x = 34,273,280,935.14/289,381.90
  6. Step 6: Final answer
    x = 118,436.16

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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.