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Finding the Fourth Proportional to 447,378.72, 617,397.16 and 256,428.10

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Solution

The fourth proportional to 447,378.72, 617,397.16 and 256,428.10 is: 353,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,378.72 : 617,397.16 = 256,428.10 : x
  2. Step 2: Convert to fraction form
    447,378.72/617,397.16 = 256,428.10/x
  3. Step 3: Cross multiply
    447,378.72x = 617,397.16 × 256,428.10
  4. Step 4: Simplify right side
    447,378.72x = 158,317,980,684.20
  5. Step 5: Solve for x
    x = 158,317,980,684.20/447,378.72
  6. Step 6: Final answer
    x = 353,879.10

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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.