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Finding the Fourth Proportional to 289,809.43, 434,839.29 and 156,783.40

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Solution

The fourth proportional to 289,809.43, 434,839.29 and 156,783.40 is: 235,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.43 : 434,839.29 = 156,783.40 : x
  2. Step 2: Convert to fraction form
    289,809.43/434,839.29 = 156,783.40/x
  3. Step 3: Cross multiply
    289,809.43x = 434,839.29 × 156,783.40
  4. Step 4: Simplify right side
    289,809.43x = 68,175,582,339.79
  5. Step 5: Solve for x
    x = 68,175,582,339.79/289,809.43
  6. Step 6: Final answer
    x = 235,242.80

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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.