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Finding the Fourth Proportional to 475,960.87, 714,128.21 and 209,534.46

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Solution

The fourth proportional to 475,960.87, 714,128.21 and 209,534.46 is: 314,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,960.87 : 714,128.21 = 209,534.46 : x
  2. Step 2: Convert to fraction form
    475,960.87/714,128.21 = 209,534.46/x
  3. Step 3: Cross multiply
    475,960.87x = 714,128.21 × 209,534.46
  4. Step 4: Simplify right side
    475,960.87x = 149,634,468,853.12
  5. Step 5: Solve for x
    x = 149,634,468,853.12/475,960.87
  6. Step 6: Final answer
    x = 314,383.97

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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.