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Finding the Fourth Proportional to 617,389.74, 925,453.17 and 417,731.22

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Solution

The fourth proportional to 617,389.74, 925,453.17 and 417,731.22 is: 626,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,389.74 : 925,453.17 = 417,731.22 : x
  2. Step 2: Convert to fraction form
    617,389.74/925,453.17 = 417,731.22/x
  3. Step 3: Cross multiply
    617,389.74x = 925,453.17 × 417,731.22
  4. Step 4: Simplify right side
    617,389.74x = 386,590,681,756.97
  5. Step 5: Solve for x
    x = 386,590,681,756.97/617,389.74
  6. Step 6: Final answer
    x = 626,169.59

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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.