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Finding the Fourth Proportional to 510,254.71, 765,631.04 and 320,804.15

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Solution

The fourth proportional to 510,254.71, 765,631.04 and 320,804.15 is: 481,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,254.71 : 765,631.04 = 320,804.15 : x
  2. Step 2: Convert to fraction form
    510,254.71/765,631.04 = 320,804.15/x
  3. Step 3: Cross multiply
    510,254.71x = 765,631.04 × 320,804.15
  4. Step 4: Simplify right side
    510,254.71x = 245,617,609,568.64
  5. Step 5: Solve for x
    x = 245,617,609,568.64/510,254.71
  6. Step 6: Final answer
    x = 481,362.75

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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.