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Finding the Fourth Proportional to 447,711.40, 617,864.42 and 254,132.68

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Solution

The fourth proportional to 447,711.40, 617,864.42 and 254,132.68 is: 350,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,711.40 : 617,864.42 = 254,132.68 : x
  2. Step 2: Convert to fraction form
    447,711.40/617,864.42 = 254,132.68/x
  3. Step 3: Cross multiply
    447,711.40x = 617,864.42 × 254,132.68
  4. Step 4: Simplify right side
    447,711.40x = 157,019,540,931.25
  5. Step 5: Solve for x
    x = 157,019,540,931.25/447,711.40
  6. Step 6: Final answer
    x = 350,715.98

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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.