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Finding the Fourth Proportional to 384,210.20, 576,315.30 and 378,305.30

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Solution

The fourth proportional to 384,210.20, 576,315.30 and 378,305.30 is: 567,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210.20 : 576,315.30 = 378,305.30 : x
  2. Step 2: Convert to fraction form
    384,210.20/576,315.30 = 378,305.30/x
  3. Step 3: Cross multiply
    384,210.20x = 576,315.30 × 378,305.30
  4. Step 4: Simplify right side
    384,210.20x = 218,023,132,461.09
  5. Step 5: Solve for x
    x = 218,023,132,461.09/384,210.20
  6. Step 6: Final answer
    x = 567,457.95

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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.