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Finding the Fourth Proportional to 289,813.80, 434,574.90 and 171,521.40

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Solution

The fourth proportional to 289,813.80, 434,574.90 and 171,521.40 is: 257,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,813.80 : 434,574.90 = 171,521.40 : x
  2. Step 2: Convert to fraction form
    289,813.80/434,574.90 = 171,521.40/x
  3. Step 3: Cross multiply
    289,813.80x = 434,574.90 × 171,521.40
  4. Step 4: Simplify right side
    289,813.80x = 74,538,895,252.86
  5. Step 5: Solve for x
    x = 74,538,895,252.86/289,813.80
  6. Step 6: Final answer
    x = 257,195.81

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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.