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Finding the Fourth Proportional to 509,938.60, 764,251.80 and 310,046.80

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Solution

The fourth proportional to 509,938.60, 764,251.80 and 310,046.80 is: 464,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,938.60 : 764,251.80 = 310,046.80 : x
  2. Step 2: Convert to fraction form
    509,938.60/764,251.80 = 310,046.80/x
  3. Step 3: Cross multiply
    509,938.60x = 764,251.80 × 310,046.80
  4. Step 4: Simplify right side
    509,938.60x = 236,953,824,984.24
  5. Step 5: Solve for x
    x = 236,953,824,984.24/509,938.60
  6. Step 6: Final answer
    x = 464,671.29

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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.