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Finding the Fourth Proportional to 617,209.42, 851,708.79 and 345,230.14

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Solution

The fourth proportional to 617,209.42, 851,708.79 and 345,230.14 is: 476,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,209.42 : 851,708.79 = 345,230.14 : x
  2. Step 2: Convert to fraction form
    617,209.42/851,708.79 = 345,230.14/x
  3. Step 3: Cross multiply
    617,209.42x = 851,708.79 × 345,230.14
  4. Step 4: Simplify right side
    617,209.42x = 294,035,544,810.93
  5. Step 5: Solve for x
    x = 294,035,544,810.93/617,209.42
  6. Step 6: Final answer
    x = 476,395.10

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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.