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Finding the Fourth Proportional to 289,675.68, 434,633.55 and 156,399.27

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Solution

The fourth proportional to 289,675.68, 434,633.55 and 156,399.27 is: 234,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,675.68 : 434,633.55 = 156,399.27 : x
  2. Step 2: Convert to fraction form
    289,675.68/434,633.55 = 156,399.27/x
  3. Step 3: Cross multiply
    289,675.68x = 434,633.55 × 156,399.27
  4. Step 4: Simplify right side
    289,675.68x = 67,976,369,937.51
  5. Step 5: Solve for x
    x = 67,976,369,937.51/289,675.68
  6. Step 6: Final answer
    x = 234,663.71

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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.