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Finding the Fourth Proportional to 509,904.30, 765,148.05 and 352,245.90

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Solution

The fourth proportional to 509,904.30, 765,148.05 and 352,245.90 is: 528,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,904.30 : 765,148.05 = 352,245.90 : x
  2. Step 2: Convert to fraction form
    509,904.30/765,148.05 = 352,245.90/x
  3. Step 3: Cross multiply
    509,904.30x = 765,148.05 × 352,245.90
  4. Step 4: Simplify right side
    509,904.30x = 269,520,263,505.50
  5. Step 5: Solve for x
    x = 269,520,263,505.50/509,904.30
  6. Step 6: Final answer
    x = 528,570.29

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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.