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Finding the Fourth Proportional to 314,635.20, 471,175.20 and 208,881.60

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Solution

The fourth proportional to 314,635.20, 471,175.20 and 208,881.60 is: 312,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,635.20 : 471,175.20 = 208,881.60 : x
  2. Step 2: Convert to fraction form
    314,635.20/471,175.20 = 208,881.60/x
  3. Step 3: Cross multiply
    314,635.20x = 471,175.20 × 208,881.60
  4. Step 4: Simplify right side
    314,635.20x = 98,419,829,656.32
  5. Step 5: Solve for x
    x = 98,419,829,656.32/314,635.20
  6. Step 6: Final answer
    x = 312,806.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.