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Finding the Fourth Proportional to 431,968.71, 647,909.31 and 116,457.51

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Solution

The fourth proportional to 431,968.71, 647,909.31 and 116,457.51 is: 174,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,968.71 : 647,909.31 = 116,457.51 : x
  2. Step 2: Convert to fraction form
    431,968.71/647,909.31 = 116,457.51/x
  3. Step 3: Cross multiply
    431,968.71x = 647,909.31 × 116,457.51
  4. Step 4: Simplify right side
    431,968.71x = 75,453,904,948.42
  5. Step 5: Solve for x
    x = 75,453,904,948.42/431,968.71
  6. Step 6: Final answer
    x = 174,674.47

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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.