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Finding the Fourth Proportional to 431,907.84, 647,867.52 and 151,433.28

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Solution

The fourth proportional to 431,907.84, 647,867.52 and 151,433.28 is: 227,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,907.84 : 647,867.52 = 151,433.28 : x
  2. Step 2: Convert to fraction form
    431,907.84/647,867.52 = 151,433.28/x
  3. Step 3: Cross multiply
    431,907.84x = 647,867.52 × 151,433.28
  4. Step 4: Simplify right side
    431,907.84x = 98,108,703,559.07
  5. Step 5: Solve for x
    x = 98,108,703,559.07/431,907.84
  6. Step 6: Final answer
    x = 227,151.94

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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.