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Finding the Fourth Proportional to 304,113.51, 419,658.68 and 168,136.78

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Solution

The fourth proportional to 304,113.51, 419,658.68 and 168,136.78 is: 232,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,113.51 : 419,658.68 = 168,136.78 : x
  2. Step 2: Convert to fraction form
    304,113.51/419,658.68 = 168,136.78/x
  3. Step 3: Cross multiply
    304,113.51x = 419,658.68 × 168,136.78
  4. Step 4: Simplify right side
    304,113.51x = 70,560,059,154.25
  5. Step 5: Solve for x
    x = 70,560,059,154.25/304,113.51
  6. Step 6: Final answer
    x = 232,018.82

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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.