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Finding the Fourth Proportional to 289,384.80, 434,558.88 and 195,221.04

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Solution

The fourth proportional to 289,384.80, 434,558.88 and 195,221.04 is: 293,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,384.80 : 434,558.88 = 195,221.04 : x
  2. Step 2: Convert to fraction form
    289,384.80/434,558.88 = 195,221.04/x
  3. Step 3: Cross multiply
    289,384.80x = 434,558.88 × 195,221.04
  4. Step 4: Simplify right side
    289,384.80x = 84,835,036,494.84
  5. Step 5: Solve for x
    x = 84,835,036,494.84/289,384.80
  6. Step 6: Final answer
    x = 293,156.50

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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.