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Finding the Fourth Proportional to 418,011.81, 627,006.78 and 148,136.01

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Solution

The fourth proportional to 418,011.81, 627,006.78 and 148,136.01 is: 222,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,011.81 : 627,006.78 = 148,136.01 : x
  2. Step 2: Convert to fraction form
    418,011.81/627,006.78 = 148,136.01/x
  3. Step 3: Cross multiply
    418,011.81x = 627,006.78 × 148,136.01
  4. Step 4: Simplify right side
    418,011.81x = 92,882,282,632.15
  5. Step 5: Solve for x
    x = 92,882,282,632.15/418,011.81
  6. Step 6: Final answer
    x = 222,200.14

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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.