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Finding the Fourth Proportional to 511,021.32, 767,210.22 and 436,619.58

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Solution

The fourth proportional to 511,021.32, 767,210.22 and 436,619.58 is: 655,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,021.32 : 767,210.22 = 436,619.58 : x
  2. Step 2: Convert to fraction form
    511,021.32/767,210.22 = 436,619.58/x
  3. Step 3: Cross multiply
    511,021.32x = 767,210.22 × 436,619.58
  4. Step 4: Simplify right side
    511,021.32x = 334,979,004,028.11
  5. Step 5: Solve for x
    x = 334,979,004,028.11/511,021.32
  6. Step 6: Final answer
    x = 655,508.86

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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.