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Finding the Fourth Proportional to 509,232.69, 763,844.22 and 309,608.19

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Solution

The fourth proportional to 509,232.69, 763,844.22 and 309,608.19 is: 464,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,232.69 : 763,844.22 = 309,608.19 : x
  2. Step 2: Convert to fraction form
    509,232.69/763,844.22 = 309,608.19/x
  3. Step 3: Cross multiply
    509,232.69x = 763,844.22 × 309,608.19
  4. Step 4: Simplify right side
    509,232.69x = 236,492,426,396.16
  5. Step 5: Solve for x
    x = 236,492,426,396.16/509,232.69
  6. Step 6: Final answer
    x = 464,409.36

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1.5x scale

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.