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Finding the Fourth Proportional to 431,800.64, 647,061.27 and 175,321.32

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Solution

The fourth proportional to 431,800.64, 647,061.27 and 175,321.32 is: 262,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,800.64 : 647,061.27 = 175,321.32 : x
  2. Step 2: Convert to fraction form
    431,800.64/647,061.27 = 175,321.32/x
  3. Step 3: Cross multiply
    431,800.64x = 647,061.27 × 175,321.32
  4. Step 4: Simplify right side
    431,800.64x = 113,443,637,936.08
  5. Step 5: Solve for x
    x = 113,443,637,936.08/431,800.64
  6. Step 6: Final answer
    x = 262,722.26

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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.