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Finding the Fourth Proportional to 338,354.84, 507,482.15 and 205,199.35

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Solution

The fourth proportional to 338,354.84, 507,482.15 and 205,199.35 is: 307,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,354.84 : 507,482.15 = 205,199.35 : x
  2. Step 2: Convert to fraction form
    338,354.84/507,482.15 = 205,199.35/x
  3. Step 3: Cross multiply
    338,354.84x = 507,482.15 × 205,199.35
  4. Step 4: Simplify right side
    338,354.84x = 104,135,005,021.90
  5. Step 5: Solve for x
    x = 104,135,005,021.90/338,354.84
  6. Step 6: Final answer
    x = 307,768.63

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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.