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Finding the Fourth Proportional to 275,643.70, 413,465.55 and 163,669.30

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Solution

The fourth proportional to 275,643.70, 413,465.55 and 163,669.30 is: 245,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,643.70 : 413,465.55 = 163,669.30 : x
  2. Step 2: Convert to fraction form
    275,643.70/413,465.55 = 163,669.30/x
  3. Step 3: Cross multiply
    275,643.70x = 413,465.55 × 163,669.30
  4. Step 4: Simplify right side
    275,643.70x = 67,671,617,142.62
  5. Step 5: Solve for x
    x = 67,671,617,142.62/275,643.70
  6. Step 6: Final answer
    x = 245,503.95

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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.