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Finding the Fourth Proportional to 338,355.85, 507,483.65 and 205,200.35

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Solution

The fourth proportional to 338,355.85, 507,483.65 and 205,200.35 is: 307,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,355.85 : 507,483.65 = 205,200.35 : x
  2. Step 2: Convert to fraction form
    338,355.85/507,483.65 = 205,200.35/x
  3. Step 3: Cross multiply
    338,355.85x = 507,483.65 × 205,200.35
  4. Step 4: Simplify right side
    338,355.85x = 104,135,821,573.28
  5. Step 5: Solve for x
    x = 104,135,821,573.28/338,355.85
  6. Step 6: Final answer
    x = 307,770.13

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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.