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Finding the Fourth Proportional to 512,034.58, 768,132.06 and 417,036.16

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Solution

The fourth proportional to 512,034.58, 768,132.06 and 417,036.16 is: 625,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,034.58 : 768,132.06 = 417,036.16 : x
  2. Step 2: Convert to fraction form
    512,034.58/768,132.06 = 417,036.16/x
  3. Step 3: Cross multiply
    512,034.58x = 768,132.06 × 417,036.16
  4. Step 4: Simplify right side
    512,034.58x = 320,338,844,675.29
  5. Step 5: Solve for x
    x = 320,338,844,675.29/512,034.58
  6. Step 6: Final answer
    x = 625,619.55

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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.