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Finding the Fourth Proportional to 617,731, 852,486.59 and 345,797.29

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Solution

The fourth proportional to 617,731, 852,486.59 and 345,797.29 is: 477,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,731 : 852,486.59 = 345,797.29 : x
  2. Step 2: Convert to fraction form
    617,731/852,486.59 = 345,797.29/x
  3. Step 3: Cross multiply
    617,731x = 852,486.59 × 345,797.29
  4. Step 4: Simplify right side
    617,731x = 294,787,552,583.34
  5. Step 5: Solve for x
    x = 294,787,552,583.34/617,731
  6. Step 6: Final answer
    x = 477,210.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.