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Finding the Fourth Proportional to 289,810.43, 434,840.79 and 156,784.40

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Solution

The fourth proportional to 289,810.43, 434,840.79 and 156,784.40 is: 235,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,810.43 : 434,840.79 = 156,784.40 : x
  2. Step 2: Convert to fraction form
    289,810.43/434,840.79 = 156,784.40/x
  3. Step 3: Cross multiply
    289,810.43x = 434,840.79 × 156,784.40
  4. Step 4: Simplify right side
    289,810.43x = 68,176,252,355.68
  5. Step 5: Solve for x
    x = 68,176,252,355.68/289,810.43
  6. Step 6: Final answer
    x = 235,244.30

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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.