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Finding the Fourth Proportional to 406,334.60, 608,465.10 and 323,390.60

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Solution

The fourth proportional to 406,334.60, 608,465.10 and 323,390.60 is: 484,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,334.60 : 608,465.10 = 323,390.60 : x
  2. Step 2: Convert to fraction form
    406,334.60/608,465.10 = 323,390.60/x
  3. Step 3: Cross multiply
    406,334.60x = 608,465.10 × 323,390.60
  4. Step 4: Simplify right side
    406,334.60x = 196,771,893,768.06
  5. Step 5: Solve for x
    x = 196,771,893,768.06/406,334.60
  6. Step 6: Final answer
    x = 484,260.74

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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.