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Finding the Fourth Proportional to 447,105.78, 670,725.36 and 147,618

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Solution

The fourth proportional to 447,105.78, 670,725.36 and 147,618 is: 221,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,105.78 : 670,725.36 = 147,618 : x
  2. Step 2: Convert to fraction form
    447,105.78/670,725.36 = 147,618/x
  3. Step 3: Cross multiply
    447,105.78x = 670,725.36 × 147,618
  4. Step 4: Simplify right side
    447,105.78x = 99,011,136,192.48
  5. Step 5: Solve for x
    x = 99,011,136,192.48/447,105.78
  6. Step 6: Final answer
    x = 221,449.02

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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.