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Finding the Fourth Proportional to 288,222, 397,737.92 and 160,894.80

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Solution

The fourth proportional to 288,222, 397,737.92 and 160,894.80 is: 222,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,222 : 397,737.92 = 160,894.80 : x
  2. Step 2: Convert to fraction form
    288,222/397,737.92 = 160,894.80/x
  3. Step 3: Cross multiply
    288,222x = 397,737.92 × 160,894.80
  4. Step 4: Simplify right side
    288,222x = 63,993,963,090.82
  5. Step 5: Solve for x
    x = 63,993,963,090.82/288,222
  6. Step 6: Final answer
    x = 222,030.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.