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Finding the Fourth Proportional to 447,803.12, 617,962.21 and 254,209.15

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Solution

The fourth proportional to 447,803.12, 617,962.21 and 254,209.15 is: 350,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,803.12 : 617,962.21 = 254,209.15 : x
  2. Step 2: Convert to fraction form
    447,803.12/617,962.21 = 254,209.15/x
  3. Step 3: Cross multiply
    447,803.12x = 617,962.21 × 254,209.15
  4. Step 4: Simplify right side
    447,803.12x = 157,091,646,865.18
  5. Step 5: Solve for x
    x = 157,091,646,865.18/447,803.12
  6. Step 6: Final answer
    x = 350,805.16

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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.