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Finding the Fourth Proportional to 511,021.57, 767,210.60 and 436,619.83

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Solution

The fourth proportional to 511,021.57, 767,210.60 and 436,619.83 is: 655,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,021.57 : 767,210.60 = 436,619.83 : x
  2. Step 2: Convert to fraction form
    511,021.57/767,210.60 = 436,619.83/x
  3. Step 3: Cross multiply
    511,021.57x = 767,210.60 × 436,619.83
  4. Step 4: Simplify right side
    511,021.57x = 334,979,359,563.10
  5. Step 5: Solve for x
    x = 334,979,359,563.10/511,021.57
  6. Step 6: Final answer
    x = 655,509.24

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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.