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Finding the Fourth Proportional to 289,489.80, 434,234.70 and 239,723.40

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Solution

The fourth proportional to 289,489.80, 434,234.70 and 239,723.40 is: 359,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,489.80 : 434,234.70 = 239,723.40 : x
  2. Step 2: Convert to fraction form
    289,489.80/434,234.70 = 239,723.40/x
  3. Step 3: Cross multiply
    289,489.80x = 434,234.70 × 239,723.40
  4. Step 4: Simplify right side
    289,489.80x = 104,096,218,681.98
  5. Step 5: Solve for x
    x = 104,096,218,681.98/289,489.80
  6. Step 6: Final answer
    x = 359,585.10

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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.