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Finding the Fourth Proportional to 338,006.90, 507,010.35 and 205,037.30

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Solution

The fourth proportional to 338,006.90, 507,010.35 and 205,037.30 is: 307,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,006.90 : 507,010.35 = 205,037.30 : x
  2. Step 2: Convert to fraction form
    338,006.90/507,010.35 = 205,037.30/x
  3. Step 3: Cross multiply
    338,006.90x = 507,010.35 × 205,037.30
  4. Step 4: Simplify right side
    338,006.90x = 103,956,033,236.06
  5. Step 5: Solve for x
    x = 103,956,033,236.06/338,006.90
  6. Step 6: Final answer
    x = 307,555.95

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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.