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Finding the Fourth Proportional to 570,420, 787,386.96 and 331,956

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Solution

The fourth proportional to 570,420, 787,386.96 and 331,956 is: 458,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,420 : 787,386.96 = 331,956 : x
  2. Step 2: Convert to fraction form
    570,420/787,386.96 = 331,956/x
  3. Step 3: Cross multiply
    570,420x = 787,386.96 × 331,956
  4. Step 4: Simplify right side
    570,420x = 261,377,825,693.76
  5. Step 5: Solve for x
    x = 261,377,825,693.76/570,420
  6. Step 6: Final answer
    x = 458,219.95

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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.