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Finding the Fourth Proportional to 289,223.51, 399,123.44 and 160,159.43

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Solution

The fourth proportional to 289,223.51, 399,123.44 and 160,159.43 is: 221,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,223.51 : 399,123.44 = 160,159.43 : x
  2. Step 2: Convert to fraction form
    289,223.51/399,123.44 = 160,159.43/x
  3. Step 3: Cross multiply
    289,223.51x = 399,123.44 × 160,159.43
  4. Step 4: Simplify right side
    289,223.51x = 63,923,380,654.42
  5. Step 5: Solve for x
    x = 63,923,380,654.42/289,223.51
  6. Step 6: Final answer
    x = 221,017.24

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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.