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Finding the Fourth Proportional to 617,122.70, 851,708.10 and 345,205.70

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Solution

The fourth proportional to 617,122.70, 851,708.10 and 345,205.70 is: 476,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,122.70 : 851,708.10 = 345,205.70 : x
  2. Step 2: Convert to fraction form
    617,122.70/851,708.10 = 345,205.70/x
  3. Step 3: Cross multiply
    617,122.70x = 851,708.10 × 345,205.70
  4. Step 4: Simplify right side
    617,122.70x = 294,014,490,856.17
  5. Step 5: Solve for x
    x = 294,014,490,856.17/617,122.70
  6. Step 6: Final answer
    x = 476,427.93

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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.