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Finding the Fourth Proportional to 447,360, 617,373.80 and 256,410.24

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Solution

The fourth proportional to 447,360, 617,373.80 and 256,410.24 is: 353,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,360 : 617,373.80 = 256,410.24 : x
  2. Step 2: Convert to fraction form
    447,360/617,373.80 = 256,410.24/x
  3. Step 3: Cross multiply
    447,360x = 617,373.80 × 256,410.24
  4. Step 4: Simplify right side
    447,360x = 158,300,964,227.71
  5. Step 5: Solve for x
    x = 158,300,964,227.71/447,360
  6. Step 6: Final answer
    x = 353,855.87

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1.5x scale

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.