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Finding the Fourth Proportional to 617,608.90, 852,106.03 and 345,633.58

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Solution

The fourth proportional to 617,608.90, 852,106.03 and 345,633.58 is: 476,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,608.90 : 852,106.03 = 345,633.58 : x
  2. Step 2: Convert to fraction form
    617,608.90/852,106.03 = 345,633.58/x
  3. Step 3: Cross multiply
    617,608.90x = 852,106.03 × 345,633.58
  4. Step 4: Simplify right side
    617,608.90x = 294,516,457,688.49
  5. Step 5: Solve for x
    x = 294,516,457,688.49/617,608.90
  6. Step 6: Final answer
    x = 476,865.63

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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.