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Finding the Fourth Proportional to 408,859.10, 613,288.65 and 302,570.90

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Solution

The fourth proportional to 408,859.10, 613,288.65 and 302,570.90 is: 453,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,859.10 : 613,288.65 = 302,570.90 : x
  2. Step 2: Convert to fraction form
    408,859.10/613,288.65 = 302,570.90/x
  3. Step 3: Cross multiply
    408,859.10x = 613,288.65 × 302,570.90
  4. Step 4: Simplify right side
    408,859.10x = 185,563,298,790.29
  5. Step 5: Solve for x
    x = 185,563,298,790.29/408,859.10
  6. Step 6: Final answer
    x = 453,856.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.