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Finding the Fourth Proportional to 289,271.31, 433,894.28 and 78,908.55

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Solution

The fourth proportional to 289,271.31, 433,894.28 and 78,908.55 is: 118,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,271.31 : 433,894.28 = 78,908.55 : x
  2. Step 2: Convert to fraction form
    289,271.31/433,894.28 = 78,908.55/x
  3. Step 3: Cross multiply
    289,271.31x = 433,894.28 × 78,908.55
  4. Step 4: Simplify right side
    289,271.31x = 34,237,968,093.55
  5. Step 5: Solve for x
    x = 34,237,968,093.55/289,271.31
  6. Step 6: Final answer
    x = 118,359.36

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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.