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Finding the Fourth Proportional to 431,820.56, 647,804.67 and 147,495.50

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Solution

The fourth proportional to 431,820.56, 647,804.67 and 147,495.50 is: 221,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,820.56 : 647,804.67 = 147,495.50 : x
  2. Step 2: Convert to fraction form
    431,820.56/647,804.67 = 147,495.50/x
  3. Step 3: Cross multiply
    431,820.56x = 647,804.67 × 147,495.50
  4. Step 4: Simplify right side
    431,820.56x = 95,548,273,703.99
  5. Step 5: Solve for x
    x = 95,548,273,703.99/431,820.56
  6. Step 6: Final answer
    x = 221,268.47

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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.