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Finding the Fourth Proportional to 447,412.40, 671,223.70 and 147,893

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Solution

The fourth proportional to 447,412.40, 671,223.70 and 147,893 is: 221,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,412.40 : 671,223.70 = 147,893 : x
  2. Step 2: Convert to fraction form
    447,412.40/671,223.70 = 147,893/x
  3. Step 3: Cross multiply
    447,412.40x = 671,223.70 × 147,893
  4. Step 4: Simplify right side
    447,412.40x = 99,269,286,664.10
  5. Step 5: Solve for x
    x = 99,269,286,664.10/447,412.40
  6. Step 6: Final answer
    x = 221,874.24

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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.