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Finding the Fourth Proportional to 316,938.74, 475,425.42 and 80,283.47

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Solution

The fourth proportional to 316,938.74, 475,425.42 and 80,283.47 is: 120,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,938.74 : 475,425.42 = 80,283.47 : x
  2. Step 2: Convert to fraction form
    316,938.74/475,425.42 = 80,283.47/x
  3. Step 3: Cross multiply
    316,938.74x = 475,425.42 × 80,283.47
  4. Step 4: Simplify right side
    316,938.74x = 38,168,800,066.68
  5. Step 5: Solve for x
    x = 38,168,800,066.68/316,938.74
  6. Step 6: Final answer
    x = 120,429.58

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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.