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Finding the Fourth Proportional to 447,139.14, 670,708.62 and 260,019.42

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Solution

The fourth proportional to 447,139.14, 670,708.62 and 260,019.42 is: 390,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,139.14 : 670,708.62 = 260,019.42 : x
  2. Step 2: Convert to fraction form
    447,139.14/670,708.62 = 260,019.42/x
  3. Step 3: Cross multiply
    447,139.14x = 670,708.62 × 260,019.42
  4. Step 4: Simplify right side
    447,139.14x = 174,397,266,361.40
  5. Step 5: Solve for x
    x = 174,397,266,361.40/447,139.14
  6. Step 6: Final answer
    x = 390,029.08

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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.