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Finding the Fourth Proportional to 617,468.40, 852,145.92 and 345,567.60

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Solution

The fourth proportional to 617,468.40, 852,145.92 and 345,567.60 is: 476,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,468.40 : 852,145.92 = 345,567.60 : x
  2. Step 2: Convert to fraction form
    617,468.40/852,145.92 = 345,567.60/x
  3. Step 3: Cross multiply
    617,468.40x = 852,145.92 × 345,567.60
  4. Step 4: Simplify right side
    617,468.40x = 294,474,020,424.19
  5. Step 5: Solve for x
    x = 294,474,020,424.19/617,468.40
  6. Step 6: Final answer
    x = 476,905.41

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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.