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Finding the Fourth Proportional to 512,084.80, 766,744.80 and 401,492.80

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Solution

The fourth proportional to 512,084.80, 766,744.80 and 401,492.80 is: 601,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,084.80 : 766,744.80 = 401,492.80 : x
  2. Step 2: Convert to fraction form
    512,084.80/766,744.80 = 401,492.80/x
  3. Step 3: Cross multiply
    512,084.80x = 766,744.80 × 401,492.80
  4. Step 4: Simplify right side
    512,084.80x = 307,842,516,637.44
  5. Step 5: Solve for x
    x = 307,842,516,637.44/512,084.80
  6. Step 6: Final answer
    x = 601,155.35

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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.