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Finding the Fourth Proportional to 431,968.58, 647,909.12 and 116,457.38

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Solution

The fourth proportional to 431,968.58, 647,909.12 and 116,457.38 is: 174,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,968.58 : 647,909.12 = 116,457.38 : x
  2. Step 2: Convert to fraction form
    431,968.58/647,909.12 = 116,457.38/x
  3. Step 3: Cross multiply
    431,968.58x = 647,909.12 × 116,457.38
  4. Step 4: Simplify right side
    431,968.58x = 75,453,798,593.31
  5. Step 5: Solve for x
    x = 75,453,798,593.31/431,968.58
  6. Step 6: Final answer
    x = 174,674.28

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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.