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Finding the Fourth Proportional to 220,113.90, 302,587.64 and 189,374

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Solution

The fourth proportional to 220,113.90, 302,587.64 and 189,374 is: 260,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,113.90 : 302,587.64 = 189,374 : x
  2. Step 2: Convert to fraction form
    220,113.90/302,587.64 = 189,374/x
  3. Step 3: Cross multiply
    220,113.90x = 302,587.64 × 189,374
  4. Step 4: Simplify right side
    220,113.90x = 57,302,231,737.36
  5. Step 5: Solve for x
    x = 57,302,231,737.36/220,113.90
  6. Step 6: Final answer
    x = 260,329.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.