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Finding the Fourth Proportional to 475,728.54, 712,193.12 and 317,564.70

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Solution

The fourth proportional to 475,728.54, 712,193.12 and 317,564.70 is: 475,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,728.54 : 712,193.12 = 317,564.70 : x
  2. Step 2: Convert to fraction form
    475,728.54/712,193.12 = 317,564.70/x
  3. Step 3: Cross multiply
    475,728.54x = 712,193.12 × 317,564.70
  4. Step 4: Simplify right side
    475,728.54x = 226,167,392,907.04
  5. Step 5: Solve for x
    x = 226,167,392,907.04/475,728.54
  6. Step 6: Final answer
    x = 475,412.71

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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.