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Finding the Fourth Proportional to 408,509, 563,734.32 and 227,217.04

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Solution

The fourth proportional to 408,509, 563,734.32 and 227,217.04 is: 313,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,509 : 563,734.32 = 227,217.04 : x
  2. Step 2: Convert to fraction form
    408,509/563,734.32 = 227,217.04/x
  3. Step 3: Cross multiply
    408,509x = 563,734.32 × 227,217.04
  4. Step 4: Simplify right side
    408,509x = 128,090,043,536.81
  5. Step 5: Solve for x
    x = 128,090,043,536.81/408,509
  6. Step 6: Final answer
    x = 313,555.01

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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.