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Finding the Fourth Proportional to 584,530, 806,651.40 and 316,258

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Solution

The fourth proportional to 584,530, 806,651.40 and 316,258 is: 436,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,530 : 806,651.40 = 316,258 : x
  2. Step 2: Convert to fraction form
    584,530/806,651.40 = 316,258/x
  3. Step 3: Cross multiply
    584,530x = 806,651.40 × 316,258
  4. Step 4: Simplify right side
    584,530x = 255,109,958,461.20
  5. Step 5: Solve for x
    x = 255,109,958,461.20/584,530
  6. Step 6: Final answer
    x = 436,436.04

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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.