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Finding the Fourth Proportional to 289,937.52, 434,731.50 and 129,984.50

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Solution

The fourth proportional to 289,937.52, 434,731.50 and 129,984.50 is: 194,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,937.52 : 434,731.50 = 129,984.50 : x
  2. Step 2: Convert to fraction form
    289,937.52/434,731.50 = 129,984.50/x
  3. Step 3: Cross multiply
    289,937.52x = 434,731.50 × 129,984.50
  4. Step 4: Simplify right side
    289,937.52x = 56,508,356,661.75
  5. Step 5: Solve for x
    x = 56,508,356,661.75/289,937.52
  6. Step 6: Final answer
    x = 194,898.39

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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.