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Finding the Fourth Proportional to 289,472.72, 434,357.40 and 137,841.52

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Solution

The fourth proportional to 289,472.72, 434,357.40 and 137,841.52 is: 206,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,472.72 : 434,357.40 = 137,841.52 : x
  2. Step 2: Convert to fraction form
    289,472.72/434,357.40 = 137,841.52/x
  3. Step 3: Cross multiply
    289,472.72x = 434,357.40 × 137,841.52
  4. Step 4: Simplify right side
    289,472.72x = 59,872,484,239.25
  5. Step 5: Solve for x
    x = 59,872,484,239.25/289,472.72
  6. Step 6: Final answer
    x = 206,832.91

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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.