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Finding the Fourth Proportional to 363,038.40, 544,298.40 and 205,315.20

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Solution

The fourth proportional to 363,038.40, 544,298.40 and 205,315.20 is: 307,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,038.40 : 544,298.40 = 205,315.20 : x
  2. Step 2: Convert to fraction form
    363,038.40/544,298.40 = 205,315.20/x
  3. Step 3: Cross multiply
    363,038.40x = 544,298.40 × 205,315.20
  4. Step 4: Simplify right side
    363,038.40x = 111,752,734,855.68
  5. Step 5: Solve for x
    x = 111,752,734,855.68/363,038.40
  6. Step 6: Final answer
    x = 307,826.21

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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.