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Finding the Fourth Proportional to 475,310.54, 712,969.86 and 380,305.28

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Solution

The fourth proportional to 475,310.54, 712,969.86 and 380,305.28 is: 570,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,310.54 : 712,969.86 = 380,305.28 : x
  2. Step 2: Convert to fraction form
    475,310.54/712,969.86 = 380,305.28/x
  3. Step 3: Cross multiply
    475,310.54x = 712,969.86 × 380,305.28
  4. Step 4: Simplify right side
    475,310.54x = 271,146,202,238.86
  5. Step 5: Solve for x
    x = 271,146,202,238.86/475,310.54
  6. Step 6: Final answer
    x = 570,461.16

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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.