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Finding the Fourth Proportional to 617,847.76, 852,431.64 and 345,875.60

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Solution

The fourth proportional to 617,847.76, 852,431.64 and 345,875.60 is: 477,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,847.76 : 852,431.64 = 345,875.60 : x
  2. Step 2: Convert to fraction form
    617,847.76/852,431.64 = 345,875.60/x
  3. Step 3: Cross multiply
    617,847.76x = 852,431.64 × 345,875.60
  4. Step 4: Simplify right side
    617,847.76x = 294,835,304,943.98
  5. Step 5: Solve for x
    x = 294,835,304,943.98/617,847.76
  6. Step 6: Final answer
    x = 477,197.34

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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.